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</div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 28916</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Equilibrium analysis</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28916</span> The Unsteady Non-Equilibrium Distribution Function and Exact Equilibrium Time for a Dilute Gas Affected by Thermal Radiation Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taha%20Zakaraia%20Abdel%20Wahid">Taha Zakaraia Abdel Wahid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The behavior of the unsteady non-equilibrium distribution function for a dilute gas under the effect of non-linear thermal radiation field is presented. For the best of our knowledge this is done for the first time at all. The distinction and comparisons between the unsteady perturbed and the unsteady equilibrium velocity distribution functions are illustrated. The equilibrium time for the dilute gas is determined for the first time. The non-equilibrium thermodynamic properties of the system (gas+the heated plate) are investigated. The results are applied to the Argon gas, for various values of radiation field intensity. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior. The results are discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dilute%20gas" title="dilute gas">dilute gas</a>, <a href="https://publications.waset.org/abstracts/search?q=radiation%20field" title=" radiation field"> radiation field</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20solutions" title=" exact solutions"> exact solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20method" title=" travelling wave method"> travelling wave method</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20BGK%20model" title=" unsteady BGK model"> unsteady BGK model</a>, <a href="https://publications.waset.org/abstracts/search?q=irreversible%20thermodynamics" title=" irreversible thermodynamics"> irreversible thermodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20non-equilibrium%20distribution%20functions" title=" unsteady non-equilibrium distribution functions"> unsteady non-equilibrium distribution functions</a> </p> <a href="https://publications.waset.org/abstracts/10132/the-unsteady-non-equilibrium-distribution-function-and-exact-equilibrium-time-for-a-dilute-gas-affected-by-thermal-radiation-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10132.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">501</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28915</span> MHD Equilibrium Study in Alborz Tokamak</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maryamosadat%20Ghasemi">Maryamosadat Ghasemi</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Amrollahi"> Reza Amrollahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Plasma equilibrium geometry has a great influence on the confinement and magnetohydrodynamic stability in tokamaks. The poloidal field (PF) system of a tokamak should be able to support this plasma equilibrium geometry. In this work the prepared numerical code based on radial basis functions are presented and used to solve the Grad–Shafranov (GS) equation for the axisymmetric equilibrium of tokamak plasma. The radial basis functions (RBFs) which is a kind of numerical meshfree method (MFM) for solving partial differential equations (PDEs) has appeared in the last decade and is developing significantly in the last few years. This technique is applied in this study to obtain the equilibrium configuration for Alborz Tokamak. The behavior of numerical solution convergences show the validation of this calculations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title="equilibrium">equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=grad%E2%80%93shafranov" title=" grad–shafranov"> grad–shafranov</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20functions" title=" radial basis functions"> radial basis functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Alborz%20Tokamak" title=" Alborz Tokamak"> Alborz Tokamak</a> </p> <a href="https://publications.waset.org/abstracts/30952/mhd-equilibrium-study-in-alborz-tokamak" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30952.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">481</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28914</span> Controversies and Contradiction in (IR) Reversibility and the Equilibrium of Reactive Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Joao%20Teotonio%20Manzi">Joao Teotonio Manzi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Reversibility, irreversibility, equilibrium and steady-state that play a central role in the thermodynamic analysis of processes arising in the context of reactive systems are discussed in this article. Such concepts have generated substantial doubts, even among the most experienced researchers, and engineers, because from the literature, conclusive or definitive statements cannot be extracted. Concepts such as the time-reversibility of irreversible processes seem paradoxical, requiring further analysis. Equilibrium and reversibility, which appear to be of the same nature, have also been re-examined in the light of maximum entropy. The goal of this paper is to revisit and explore these concepts based on classical thermodynamics in order to have a better understanding them due to their impacts on technological advances, as a result, to generate an optimal procedure for designing, monitoring, and engineering optimization. Furthermore, an effective graphic procedure for dimensioning a Plug Flow Reactor has been provided. Thus, to meet the needs of chemical engineering from a simple conceptual analysis but with significant practical effects, a macroscopic approach is taken so as to integrate the different parts of this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reversibility" title="reversibility">reversibility</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=steady-state" title=" steady-state"> steady-state</a>, <a href="https://publications.waset.org/abstracts/search?q=thermodynamics" title=" thermodynamics"> thermodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=reactive%20system" title=" reactive system"> reactive system</a> </p> <a href="https://publications.waset.org/abstracts/144272/controversies-and-contradiction-in-ir-reversibility-and-the-equilibrium-of-reactive-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/144272.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">111</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28913</span> Teaching and Learning Dialectical Relationship between Thermodynamic Equilibrium and Reaction Rate Constant</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Anwar">Mohammad Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Shah%20Waliullah"> Shah Waliullah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The development of science and technology in the present era has an urgent demand for the training of thinking of undergraduates. This requirement actively promotes research and teaching of basic theories, beneficial to the career development of students. This study clarified the dialectical relation between the thermodynamic equilibrium constant and reaction rate constant through the contrast thinking method. Findings reveal that both the isobaric Van't Hoff equation and the Arrhenius equation had four similar forms, and the change in the trend of both constants showed a similar law. By the derivation of the formation rate constant of the product (KY) and the consumption rate constant of the reactant (KA), the ratio of both constants at the end state indicated the nature of the equilibrium state in agreement with that of the thermodynamic equilibrium constant (K^θ (T)). This study has thus presented that the thermodynamic equilibrium constant contained the characteristics of microscopic dynamics based on the analysis of the reaction mechanism, and both constants are organically connected and unified. The reaction enthalpy and activation energy are closely related to each other with the same connotation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=thermodynamic%20equilibrium%20constant" title="thermodynamic equilibrium constant">thermodynamic equilibrium constant</a>, <a href="https://publications.waset.org/abstracts/search?q=reaction%20rate%20constant" title=" reaction rate constant"> reaction rate constant</a>, <a href="https://publications.waset.org/abstracts/search?q=PBL%20teaching" title=" PBL teaching"> PBL teaching</a>, <a href="https://publications.waset.org/abstracts/search?q=dialectical%20relation" title=" dialectical relation"> dialectical relation</a>, <a href="https://publications.waset.org/abstracts/search?q=innovative%20thinking" title=" innovative thinking"> innovative thinking</a> </p> <a href="https://publications.waset.org/abstracts/161693/teaching-and-learning-dialectical-relationship-between-thermodynamic-equilibrium-and-reaction-rate-constant" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161693.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">116</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28912</span> A Game Theory Analysis of The Enuma Elish</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bo%20Kampmann%20Walther">Bo Kampmann Walther</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This essay provides an in-depth interpretation of the ancient Babylonian origin narrative, The Enuma Elish, through the lens of game theory. It examines the strategic interactions among the deities in the myth as if they were players in a game, focusing on understanding the dynamics of conflict, cooperation, and equilibrium within the narrative. The pivotal game theory concept known as Nash Equilibrium is given prominent consideration, but saddle points and optimal strategies will also be employed to uncover the decision-making processes of the divine figures, particularly in the cosmic battle for supremacy. This analysis demonstrates that the ancient narrative, beyond its mythological content, illustrates timeless principles of strategic behavior in the pursuit of game success. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Enuma%20Elish" title="Enuma Elish">Enuma Elish</a>, <a href="https://publications.waset.org/abstracts/search?q=game%20theory" title=" game theory"> game theory</a>, <a href="https://publications.waset.org/abstracts/search?q=Nash%20Equilibrium" title=" Nash Equilibrium"> Nash Equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=Babylonian%20mythology" title=" Babylonian mythology"> Babylonian mythology</a>, <a href="https://publications.waset.org/abstracts/search?q=strategic%20interaction" title=" strategic interaction"> strategic interaction</a> </p> <a href="https://publications.waset.org/abstracts/191404/a-game-theory-analysis-of-the-enuma-elish" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/191404.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">38</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28911</span> The Behavior of Unsteady Non-Equilibrium Distribution Function and Exact Equilibrium Time for a Dilute Gas Mixture Affected by Thermal Radiation Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Taha%20Zakaraia%20Abdel%20Wahid">Taha Zakaraia Abdel Wahid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, a development of the papers is introduced. The behavior of the unsteady non-equilibrium distribution functions for a rarefied gas mixture under the effect of non-linear thermal radiation field is presented. For the best of our knowledge this is done for the first time at all. The distinction and comparisons between the unsteady perturbed and the unsteady equilibrium velocity distribution functions are illustrated. The equilibrium time for the rarefied gas mixture is determined for the first time. The non-equilibrium thermodynamic properties of the system is investigated. The results are applied to the Argon-Neon binary gas mixture, for various values of both of molar fraction parameters and radiation field intensity. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior and the results are discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radiation%20field" title="radiation field">radiation field</a>, <a href="https://publications.waset.org/abstracts/search?q=binary%20gas%20mixture" title=" binary gas mixture"> binary gas mixture</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20solutions" title=" exact solutions"> exact solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20method" title=" travelling wave method"> travelling wave method</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20BGK%20model" title=" unsteady BGK model"> unsteady BGK model</a>, <a href="https://publications.waset.org/abstracts/search?q=irreversible%20thermodynamics" title=" irreversible thermodynamics"> irreversible thermodynamics</a> </p> <a href="https://publications.waset.org/abstracts/10477/the-behavior-of-unsteady-non-equilibrium-distribution-function-and-exact-equilibrium-time-for-a-dilute-gas-mixture-affected-by-thermal-radiation-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10477.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">457</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28910</span> Investigation of Soil Slopes Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nima%20Farshidfar">Nima Farshidfar</a>, <a href="https://publications.waset.org/abstracts/search?q=Navid%20Daryasafar"> Navid Daryasafar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the seismic stability of reinforced soil slopes is studied using pseudo-dynamic analysis. Equilibrium equations that are applicable to the every kind of failure surface are written using Horizontal Slices Method. In written equations, the balance of the vertical and horizontal forces and moment equilibrium is fully satisfied. Failure surface is assumed to be log-spiral, and non-linear equilibrium equations obtained for the system are solved using Newton-Raphson Method. Earthquake effects are applied as horizontal and vertical pseudo-static coefficients to the problem. To solve this problem, a code was developed in MATLAB, and the critical failure surface is calculated using genetic algorithm. At the end, comparing the results obtained in this paper, effects of various parameters and the effect of using pseudo - dynamic analysis in seismic forces modeling is presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=soil%20slopes" title="soil slopes">soil slopes</a>, <a href="https://publications.waset.org/abstracts/search?q=pseudo-dynamic" title=" pseudo-dynamic"> pseudo-dynamic</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm" title=" genetic algorithm"> genetic algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=limit%20equilibrium%20method" title=" limit equilibrium method"> limit equilibrium method</a>, <a href="https://publications.waset.org/abstracts/search?q=log-spiral%20failure%20surface" title=" log-spiral failure surface"> log-spiral failure surface</a> </p> <a href="https://publications.waset.org/abstracts/14189/investigation-of-soil-slopes-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14189.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28909</span> Pure Scalar Equilibria for Normal-Form Games</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Herbert%20W.%20Corley">Herbert W. Corley</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A scalar equilibrium (SE) is an alternative type of equilibrium in pure strategies for an n-person normal-form game G. It is defined using optimization techniques to obtain a pure strategy for each player of G by maximizing an appropriate utility function over the acceptable joint actions. The players’ actions are determined by the choice of the utility function. Such a utility function could be agreed upon by the players or chosen by an arbitrator. An SE is an equilibrium since no players of G can increase the value of this utility function by changing their strategies. SEs are formally defined, and examples are given. In a greedy SE, the goal is to assign actions to the players giving them the largest individual payoffs jointly possible. In a weighted SE, each player is assigned weights modeling the degree to which he helps every player, including himself, achieve as large a payoff as jointly possible. In a compromise SE, each player wants a fair payoff for a reasonable interpretation of fairness. In a parity SE, the players want their payoffs to be as nearly equal as jointly possible. Finally, a satisficing SE achieves a personal target payoff value for each player. The vector payoffs associated with each of these SEs are shown to be Pareto optimal among all such acceptable vectors, as well as computationally tractable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compromise%20equilibrium" title="compromise equilibrium">compromise equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=greedy%20equilibrium" title=" greedy equilibrium"> greedy equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=normal-form%20game" title=" normal-form game"> normal-form game</a>, <a href="https://publications.waset.org/abstracts/search?q=parity%20equilibrium" title=" parity equilibrium"> parity equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=pure%20strategies" title=" pure strategies"> pure strategies</a>, <a href="https://publications.waset.org/abstracts/search?q=satisficing%20equilibrium" title=" satisficing equilibrium"> satisficing equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=scalar%20equilibria" title=" scalar equilibria"> scalar equilibria</a>, <a href="https://publications.waset.org/abstracts/search?q=utility%20function" title=" utility function"> utility function</a>, <a href="https://publications.waset.org/abstracts/search?q=weighted%20equilibrium" title=" weighted equilibrium"> weighted equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/153301/pure-scalar-equilibria-for-normal-form-games" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/153301.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">119</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28908</span> Analysis of Nonlinear Bertrand Duopoly Game with Heterogeneous Players</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jixiang%20Zhang">Jixiang Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability of Nash equilibrium, as some parameters of the model are varied, gives rise to complex dynamics such as cycles of higher order and chaos. On this basis, we discover that an increase of adjustment speed of bounded rational player can make Bertrand market sink into the chaotic state. Finally, the complex dynamics, bifurcations and chaos are displayed by numerical simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bertrand%20duopoly%20model" title="Bertrand duopoly model">Bertrand duopoly model</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20dynamical%20system" title=" discrete dynamical system"> discrete dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20expectations" title=" heterogeneous expectations"> heterogeneous expectations</a>, <a href="https://publications.waset.org/abstracts/search?q=nash%20equilibrium" title=" nash equilibrium"> nash equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/16405/analysis-of-nonlinear-bertrand-duopoly-game-with-heterogeneous-players" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16405.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">415</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28907</span> Potassium Acetate - Coconut Shell Activated Carbon for Adsorption of Benzene and Toluene: Equilibrium and Kinetic Studies</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jibril%20Mohammed">Jibril Mohammed</a>, <a href="https://publications.waset.org/abstracts/search?q=Usman%20Dadum%20Hamza"> Usman Dadum Hamza</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdulsalam%20Surajudeen"> Abdulsalam Surajudeen</a>, <a href="https://publications.waset.org/abstracts/search?q=Baba%20Yahya%20Danjuma"> Baba Yahya Danjuma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Considerable concerns have been raised over the presence of volatile organic compounds (VOCs) in water. In this study, coconut shell based activated carbon was produced through chemical activation with potassium acetate (PAAC) for adsorption of benzene and toluene. The porous carbons were characterized using Fourier transform infrared spectroscopy (FTIR), thermogravimetric analysis (TGA), scanning electron microscopy (SEM), proximate analysis, and ultimate analysis and nitrogen adsorption tests. Adsorption of benzene and toluene on the porous carbons were conducted at varying concentrations (50-250 mg/l). The high BET surface area of 622 m2/g and highly heteroporous adsorbent prepared gave good removal efficiencies of 79 and 82% for benzene and toluene respectively, with 32% yield. Equilibrium data were fitted to Langmuir, Freundlich and Temkin isotherms with all the models having R2 > 0.94. The equilibrium data were best represented by the Langmuir isotherm, with maximum adsorption capacity of 192 mg/g and 227 mg/g for benzene and toluene respectively. The Webber and Chakkravorti equilibrium parameter (RL) values are between 0 and 1 confirming the favourability of the Langmuir model. The adsorption kinetics was found to follow the pseudo-second-order kinetic model. The PAAC produced can be used effectively to salvage environmental pollution problems posed by VOCs through a sustainable process. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adsorption" title="adsorption">adsorption</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20and%20kinetics%20studies" title=" equilibrium and kinetics studies"> equilibrium and kinetics studies</a>, <a href="https://publications.waset.org/abstracts/search?q=potassium%20acetate" title=" potassium acetate"> potassium acetate</a>, <a href="https://publications.waset.org/abstracts/search?q=water%20treatment" title=" water treatment "> water treatment </a> </p> <a href="https://publications.waset.org/abstracts/47700/potassium-acetate-coconut-shell-activated-carbon-for-adsorption-of-benzene-and-toluene-equilibrium-and-kinetic-studies" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47700.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">226</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28906</span> On the System of Split Equilibrium and Fixed Point Problems in Real Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francis%20O.%20Nwawuru">Francis O. Nwawuru</a>, <a href="https://publications.waset.org/abstracts/search?q=Jeremiah%20N.%20Ezeora"> Jeremiah N. Ezeora</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a new algorithm for solving the system of split equilibrium and fixed point problems in real Hilbert spaces is considered. The equilibrium bifunction involves a nite family of pseudo-monotone mappings, which is an improvement over monotone operators. More so, it turns out that the solution of the finite family of nonexpansive mappings. The regularized parameters do not depend on Lipschitz constants. Also, the computations of the stepsize, which plays a crucial role in the convergence analysis of the proposed method, do require prior knowledge of the norm of the involved bounded linear map. Furthermore, to speed up the rate of convergence, an inertial term technique is introduced in the proposed method. Under standard assumptions on the operators and the control sequences, using a modified Halpern iteration method, we establish strong convergence, a desired result in applications. Finally, the proposed scheme is applied to solve some optimization problems. The result obtained improves numerous results announced earlier in this direction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title="equilibrium">equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20spaces" title=" Hilbert spaces"> Hilbert spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title=" fixed point"> fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=nonexpansive%20mapping" title=" nonexpansive mapping"> nonexpansive mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=extragradient%20method" title=" extragradient method"> extragradient method</a>, <a href="https://publications.waset.org/abstracts/search?q=regularized%20equilibrium" title=" regularized equilibrium"> regularized equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/184412/on-the-system-of-split-equilibrium-and-fixed-point-problems-in-real-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/184412.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">55</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28905</span> Oryzanol Recovery from Rice Bran Oil: Adsorption Equilibrium Models Through Kinetics Data Approachments </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.D.%20Susanti">A.D. Susanti</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20B.%20Sediawan"> W. B. Sediawan</a>, <a href="https://publications.waset.org/abstracts/search?q=S.K.%20Wirawan"> S.K. Wirawan</a>, <a href="https://publications.waset.org/abstracts/search?q=Budhijanto"> Budhijanto</a>, <a href="https://publications.waset.org/abstracts/search?q=Ritmaleni"> Ritmaleni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Oryzanol content in rice bran oil (RBO) naturally has high antioxidant activity. Its reviewed has several health properties and high interested in pharmacy, cosmetics, and nutrition’s. Because of the low concentration of oryzanol in crude RBO (0.9-2.9%) then its need to be further processed for practical usage, such as via adsorption process. In this study, investigation and adjustment of adsorption equilibrium models were conducted through the kinetic data approachments. Mathematical modeling on kinetics of batch adsorption of oryzanol separation from RBO has been set-up and then applied for equilibrium results. The size of adsorbent particles used in this case are usually relatively small then the concentration in the adsorbent is assumed to be not different. Hence, the adsorption rate is controlled by the rate of oryzanol mass transfer from the bulk fluid of RBO to the surface of silica gel. In this approachments, the rate of mass transfer is assumed to be proportional to the concentration deviation from the equilibrium state. The equilibrium models applied were Langmuir, coefficient distribution, and Freundlich with the values of the parameters obtained from equilibrium results. It turned out that the models set-up can quantitatively describe the experimental kinetics data and the adjustment of the values of equilibrium isotherm parameters significantly improves the accuracy of the model. And then the value of mass transfer coefficient per unit adsorbent mass (kca) is obtained by curve fitting. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adsorption%20equilibrium" title="adsorption equilibrium">adsorption equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=adsorption%20kinetics" title=" adsorption kinetics"> adsorption kinetics</a>, <a href="https://publications.waset.org/abstracts/search?q=oryzanol" title=" oryzanol"> oryzanol</a>, <a href="https://publications.waset.org/abstracts/search?q=rice%20bran%20oil" title=" rice bran oil "> rice bran oil </a> </p> <a href="https://publications.waset.org/abstracts/31079/oryzanol-recovery-from-rice-bran-oil-adsorption-equilibrium-models-through-kinetics-data-approachments" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31079.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">326</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28904</span> Stability and Sensitivity Analysis of Cholera Model with Treatment Class</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yunusa%20Aliyu%20Hadejia">Yunusa Aliyu Hadejia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cholera is a gastrointestinal disease caused by a bacterium called Vibrio Cholerae which spread as a result of eating food or drinking water contaminated with feaces from an infected person. In this work we proposed and analyzed the impact of isolating infected people and give them therapeutic treatment, the specific objectives of the research was to formulate a mathematical model of cholera transmission incorporating treatment class, to make analysis on stability of equilibrium points of the model, positivity and boundedness was shown to ensure that the model has a biological meaning, the basic reproduction number was derived by next generation matrix approach. The result of stability analysis show that the Disease free equilibrium was both locally and globally asymptotically stable when R_0< 1 while endemic equilibrium has locally asymptotically stable when R_0> 1. Sensitivity analysis was perform to determine the contribution of each parameter to the basic reproduction number. Numerical simulation was carried out to show the impact of the model parameters using MAT Lab Software. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title="mathematical model">mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=treatment" title=" treatment"> treatment</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=sensitivity" title=" sensitivity"> sensitivity</a> </p> <a href="https://publications.waset.org/abstracts/159867/stability-and-sensitivity-analysis-of-cholera-model-with-treatment-class" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159867.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">109</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28903</span> Stability of Out-Of-Plane Equilibrium Points in the Elliptic Restricted Three-Body Problem with Oblateness up to Zonal Harmonic J₄ of Both Primaries</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kanshio%20Richard%20Tyokyaa">Kanshio Richard Tyokyaa</a>, <a href="https://publications.waset.org/abstracts/search?q=Jagadish%20Singh"> Jagadish Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we examined the location and stability of Out-Of-Plane Equilibrium points in the elliptic restricted three-body problem of an infinitesimal body when both primaries are taken as oblate spheroids with oblateness up to zonal harmonic J₄. The positions of the Equilibrium points L₆,₇ and their stability depend on the oblateness of the primaries and the eccentricity of their orbits. We explored the problem numerically to show the effects of parameters involved in the position and stability of the Out-Of-Plane Equilibrium points for the systems: HD188753 and Gliese 667. It is found that their positions are affected by the oblateness of the primaries, eccentricity and the semi-major axis of the orbits, but its stability behavior remains unchanged and is unstable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=out-of-plane" title="out-of-plane">out-of-plane</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20points" title=" equilibrium points"> equilibrium points</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20restricted%20three-body%20problem" title=" elliptic restricted three-body problem"> elliptic restricted three-body problem</a>, <a href="https://publications.waset.org/abstracts/search?q=oblateness" title=" oblateness"> oblateness</a>, <a href="https://publications.waset.org/abstracts/search?q=zonal%20harmonic" title=" zonal harmonic"> zonal harmonic</a> </p> <a href="https://publications.waset.org/abstracts/91381/stability-of-out-of-plane-equilibrium-points-in-the-elliptic-restricted-three-body-problem-with-oblateness-up-to-zonal-harmonic-j4-of-both-primaries" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91381.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">201</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28902</span> GAC Adsorption Modelling of Metsulfuron Methyl from Water</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nathaporn%20Areerachakul">Nathaporn Areerachakul</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the adsorption capacity of GAC with metsulfuron methyl was evaluated by using adsorption equilibrium and a fixed bed. Mathematical modelling was also used to simulate the GAC adsorption behavior. Adsorption equilibrium experiment of GAC was conducted using a constant concentration of metsulfuron methyl of 10 mg/L. The purpose of this study was to find the single component equilibrium concentration of herbicide. The adsorption behavior was simulated using the Langmuir, Freundlich, and Sips isotherm. The Sips isotherm fitted the experimental data reasonably well with an error of 6.6 % compared with 15.72 % and 7.07% for the Langmuir isotherm and Freudrich isotherm. Modelling using GAC adsorption theory could not replicate the experimental results in fixed bed column of 10 and 15 cm bed depths after a period more than 10 days of operation. This phenomenon is attributed to the formation of micro-organism (BAC) on the surface of GAC in addition to GAC alone. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=isotherm" title="isotherm">isotherm</a>, <a href="https://publications.waset.org/abstracts/search?q=adsorption%20equilibrium" title=" adsorption equilibrium"> adsorption equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=GAC" title=" GAC"> GAC</a>, <a href="https://publications.waset.org/abstracts/search?q=metsulfuron%20methyl" title=" metsulfuron methyl"> metsulfuron methyl</a> </p> <a href="https://publications.waset.org/abstracts/8935/gac-adsorption-modelling-of-metsulfuron-methyl-from-water" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8935.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">316</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28901</span> Method of Parameter Calibration for Error Term in Stochastic User Equilibrium Traffic Assignment Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xiang%20Zhang">Xiang Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=David%20Rey"> David Rey</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Travis%20Waller"> S. Travis Waller</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Stochastic User Equilibrium (SUE) model is a widely used traffic assignment model in transportation planning, which is regarded more advanced than Deterministic User Equilibrium (DUE) model. However, a problem exists that the performance of the SUE model depends on its error term parameter. The objective of this paper is to propose a systematic method of determining the appropriate error term parameter value for the SUE model. First, the significance of the parameter is explored through a numerical example. Second, the parameter calibration method is developed based on the Logit-based route choice model. The calibration process is realized through multiple nonlinear regression, using sequential quadratic programming combined with least square method. Finally, case analysis is conducted to demonstrate the application of the calibration process and validate the better performance of the SUE model calibrated by the proposed method compared to the SUE models under other parameter values and the DUE model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parameter%20calibration" title="parameter calibration">parameter calibration</a>, <a href="https://publications.waset.org/abstracts/search?q=sequential%20quadratic%20programming" title=" sequential quadratic programming"> sequential quadratic programming</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20user%20equilibrium" title=" stochastic user equilibrium"> stochastic user equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=traffic%20assignment" title=" traffic assignment"> traffic assignment</a>, <a href="https://publications.waset.org/abstracts/search?q=transportation%20planning" title=" transportation planning"> transportation planning</a> </p> <a href="https://publications.waset.org/abstracts/17091/method-of-parameter-calibration-for-error-term-in-stochastic-user-equilibrium-traffic-assignment-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17091.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">308</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28900</span> Numerical Modeling to Validate Theoretical Models of Toppling Failure in Rock Slopes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hooman%20Dabirmanesh">Hooman Dabirmanesh</a>, <a href="https://publications.waset.org/abstracts/search?q=Attila%20M.%20Zsaki"> Attila M. Zsaki</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traditionally, rock slope stability is carried out using limit equilibrium analysis when investigating toppling failure. In these equilibrium methods, internal forces exerted between columns are not clearly defined, and to the authors’ best knowledge, there is no consensus in literature with respect to the results of analysis. A discrete element method-based numerical model was developed and applied to simulate the behavior of rock layers subjected to toppling failure. Based on this calibrated numerical model, a study of the location and distribution of internal forces that result in equilibrium was carried out. The sum of side forces was applied at a point on a block which properly represents the force to determine the inter-column force distribution. In terms of the side force distribution coefficient, the result was compared to those obtained from laboratory centrifuge tests. The results of the simulation show the suitable criteria to select the correct position for the internal exerted force between rock layers. In addition, the numerical method demonstrates how a theoretical method could be reliable by considering the interaction between the rock layers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=contact%20bond" title="contact bond">contact bond</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20element" title=" discrete element"> discrete element</a>, <a href="https://publications.waset.org/abstracts/search?q=force%20distribution" title=" force distribution"> force distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=limit%20equilibrium" title=" limit equilibrium"> limit equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=tensile%20stress" title=" tensile stress"> tensile stress</a> </p> <a href="https://publications.waset.org/abstracts/92611/numerical-modeling-to-validate-theoretical-models-of-toppling-failure-in-rock-slopes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/92611.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">145</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28899</span> Stability Analysis of Rabies Model with Vaccination Effect and Culling in Dogs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eti%20Dwi%20Wiraningsih">Eti Dwi Wiraningsih</a>, <a href="https://publications.waset.org/abstracts/search?q=Folashade%20Agusto"> Folashade Agusto</a>, <a href="https://publications.waset.org/abstracts/search?q=Lina%20Aryati"> Lina Aryati</a>, <a href="https://publications.waset.org/abstracts/search?q=Syamsuddin%20Toaha"> Syamsuddin Toaha</a>, <a href="https://publications.waset.org/abstracts/search?q=Suzanne%20Lenhart"> Suzanne Lenhart</a>, <a href="https://publications.waset.org/abstracts/search?q=Widodo"> Widodo</a>, <a href="https://publications.waset.org/abstracts/search?q=Willy%20Govaerts"> Willy Govaerts</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper considers a deterministic model for the transmission dynamics of rabies virus in the wild dogs-domestic dogs-human zoonotic cycle. The effect of vaccination and culling in dogs is considered on the model, then the stability was analysed to get basic reproduction number. We use the next generation matrix method and Routh-Hurwitz test to analyze the stability of the Disease-Free Equilibrium and Endemic Equilibrium of this model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title="stability analysis">stability analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=rabies%20model" title=" rabies model"> rabies model</a>, <a href="https://publications.waset.org/abstracts/search?q=vaccination%20effect" title=" vaccination effect"> vaccination effect</a>, <a href="https://publications.waset.org/abstracts/search?q=culling%20in%20dogs" title=" culling in dogs"> culling in dogs</a> </p> <a href="https://publications.waset.org/abstracts/21184/stability-analysis-of-rabies-model-with-vaccination-effect-and-culling-in-dogs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21184.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">637</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28898</span> Using Axiomatic Design for Developing a Framework of Manufacturing Cloud Service Composition in the Equilibrium State</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ehsan%20Vaziri%20Goodarzi">Ehsan Vaziri Goodarzi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahmood%20Houshmand"> Mahmood Houshmand</a>, <a href="https://publications.waset.org/abstracts/search?q=Omid%20Fatahi%20Valilai"> Omid Fatahi Valilai</a>, <a href="https://publications.waset.org/abstracts/search?q=Vahidreza%20Ghezavati"> Vahidreza Ghezavati</a>, <a href="https://publications.waset.org/abstracts/search?q=Shahrooz%20Bamdad"> Shahrooz Bamdad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> One important paradigm of industry 4.0 is Cloud Manufacturing (CM). In CM everything is considered as a service, therefore, the CM platform should consider all service provider's capabilities and tries to integrate services in an equilibrium state. This research develops a framework for implementing manufacturing cloud service composition in the equilibrium state. The developed framework using well-known tools called axiomatic design (AD) and game theory. The research has investigated the factors for forming equilibrium for measures of the manufacturing cloud service composition. Functional requirements (FRs) represent the measures of manufacturing cloud service composition in the equilibrium state. These FRs satisfied by related Design Parameters (DPs). The FRs and DPs are defined by considering the game theory, QoS, consumer needs, parallel and cooperative services. Ultimately, four FRs and DPs represent the framework. To insure the validity of the framework, the authors have used the first AD’s independent axiom. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=axiomatic%20design" title="axiomatic design">axiomatic design</a>, <a href="https://publications.waset.org/abstracts/search?q=manufacturing%20cloud%20service%20composition" title=" manufacturing cloud service composition"> manufacturing cloud service composition</a>, <a href="https://publications.waset.org/abstracts/search?q=cloud%20manufacturing" title=" cloud manufacturing"> cloud manufacturing</a>, <a href="https://publications.waset.org/abstracts/search?q=industry%204.0" title=" industry 4.0"> industry 4.0</a> </p> <a href="https://publications.waset.org/abstracts/113120/using-axiomatic-design-for-developing-a-framework-of-manufacturing-cloud-service-composition-in-the-equilibrium-state" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113120.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">179</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28897</span> Bifurcation and Stability Analysis of the Dynamics of Cholera Model with Controls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=C.%20E.%20Madubueze">C. E. Madubueze</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20C.%20Madubueze"> S. C. Madubueze</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Ajama"> S. Ajama</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cholera is a disease that is predominately common in developing countries due to poor sanitation and overcrowding population. In this paper, a deterministic model for the dynamics of cholera is developed and control measures such as health educational message, therapeutic treatment, and vaccination are incorporated in the model. The effective reproduction number is computed in terms of the model parameters. The existence and stability of the equilibrium states, disease free and endemic equilibrium states are established and showed to be locally and globally asymptotically stable when R0 < 1 and R0 > 1 respectively. The existence of backward bifurcation of the model is investigated. Furthermore, numerical simulation of the model developed is carried out to show the impact of the control measures and the result indicates that combined control measures will help to reduce the spread of cholera in the population <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backward%20bifurcation" title="backward bifurcation">backward bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=cholera" title=" cholera"> cholera</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamics" title=" dynamics"> dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/36147/bifurcation-and-stability-analysis-of-the-dynamics-of-cholera-model-with-controls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36147.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">438</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28896</span> Stability Analysis of a Human-Mosquito Model of Malaria with Infective Immigrants</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nisha%20Budhwar">Nisha Budhwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sunita%20Daniel"> Sunita Daniel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we analyse the stability of the SEIR model of malaria with infective immigrants which was recently formulated by the authors. The model consists of an SEIR model for the human population and SI Model for the mosquitoes. Susceptible humans become infected after they are bitten by infectious mosquitoes and move on to the Exposed, Infected and Recovered classes respectively. The susceptible mosquito becomes infected after biting an infected person and remains infected till death. We calculate the reproduction number R0 using the next generation method and then discuss about the stability of the equilibrium points. We use the Lyapunov function to show the global stability of the equilibrium points. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium%20points" title="equilibrium points">equilibrium points</a>, <a href="https://publications.waset.org/abstracts/search?q=exposed" title=" exposed"> exposed</a>, <a href="https://publications.waset.org/abstracts/search?q=global%20stability" title=" global stability"> global stability</a>, <a href="https://publications.waset.org/abstracts/search?q=infective%20immigrants" title=" infective immigrants"> infective immigrants</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/abstracts/search?q=recovered" title=" recovered"> recovered</a>, <a href="https://publications.waset.org/abstracts/search?q=reproduction%20number" title=" reproduction number"> reproduction number</a>, <a href="https://publications.waset.org/abstracts/search?q=susceptible" title=" susceptible"> susceptible</a> </p> <a href="https://publications.waset.org/abstracts/60608/stability-analysis-of-a-human-mosquito-model-of-malaria-with-infective-immigrants" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60608.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">375</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28895</span> A Computational Study on Solvent Effects on the Keto-Enol Tautomeric Equilibrium of Dimedone and Acetylacetone 1,3- Dicabonyls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Imad%20Eddine%20Charif">Imad Eddine Charif</a>, <a href="https://publications.waset.org/abstracts/search?q=Sidi%20Mohamed%20Mekelleche"> Sidi Mohamed Mekelleche</a>, <a href="https://publications.waset.org/abstracts/search?q=Didier%20Villemin"> Didier Villemin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The solvent effects on the keto-enol tautomeric equilibriums of acetylacetone and dimedone are theoretically investigated at the correlated Becke-3-parameter-Lee-Yang-Parr (B3LYP) and second-order Møller-Plesset (MP2) computational levels. The present study shows that the most stable keto tautomer of acetylacetone corresponds to the trans-diketo, E,Z form; while the most stable enol tautomer corresponds to the closed cis-enol,Z,Z form. The keto tautomer of dimedone prefers the trans diketo, E, E form; while the most stable enol tautomer corresponds to trans-enol form. The calculated free Gibbs enthalpies indicate that, in polar solvents, the keto-enol equilibrium of acetylacetone is shifted toward the keto tautomer; whereas the keto-enol equilibrium of dimedone is shifted towards the enol tautomer. The experimental trends of the change of equilibrium constants with respect to the change of solvent polarity are well reproduced by both B3LYP and MP2 calculations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=acetylacetone" title="acetylacetone">acetylacetone</a>, <a href="https://publications.waset.org/abstracts/search?q=dimedone" title=" dimedone"> dimedone</a>, <a href="https://publications.waset.org/abstracts/search?q=solvent%20effects" title=" solvent effects"> solvent effects</a>, <a href="https://publications.waset.org/abstracts/search?q=keto-enol%20equilibrium" title=" keto-enol equilibrium"> keto-enol equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=theoretical%20calculations" title=" theoretical calculations"> theoretical calculations</a> </p> <a href="https://publications.waset.org/abstracts/6506/a-computational-study-on-solvent-effects-on-the-keto-enol-tautomeric-equilibrium-of-dimedone-and-acetylacetone-13-dicabonyls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6506.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">456</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28894</span> Stability Analysis of Modelling the Effect of Vaccination and Novel Quarantine-Adjusted Incidence on the Spread of Newcastle Disease</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nurudeen%20O.%20Lasisi">Nurudeen O. Lasisi</a>, <a href="https://publications.waset.org/abstracts/search?q=Sirajo%20Abdulrahman"> Sirajo Abdulrahman</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdulkareem%20A.%20Ibrahim"> Abdulkareem A. Ibrahim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Newcastle disease is an infection of domestic poultry and other bird species with the virulent Newcastle disease virus (NDV). In this paper, we study the dynamics of the modeling of the Newcastle disease virus (NDV) using a novel quarantine-adjusted incidence. The comparison of Vaccination, linear incident rate and novel quarantine-adjusted incident rate in the models are discussed. The dynamics of the models yield disease-free and endemic equilibrium states.The effective reproduction numbers of the models are computed in order to measure the relative impact of an individual bird or combined intervention for effective disease control. We showed the local and global stability of endemic equilibrium states of the models and we found that the stability of endemic equilibrium states of models are globally asymptotically stable if the effective reproduction numbers of the models equations are greater than a unit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=effective%20reproduction%20number" title="effective reproduction number">effective reproduction number</a>, <a href="https://publications.waset.org/abstracts/search?q=Endemic%20state" title=" Endemic state"> Endemic state</a>, <a href="https://publications.waset.org/abstracts/search?q=Mathematical%20model" title=" Mathematical model"> Mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=Newcastle%20disease%20virus" title=" Newcastle disease virus"> Newcastle disease virus</a>, <a href="https://publications.waset.org/abstracts/search?q=novel%20quarantine-adjusted%20incidence" title=" novel quarantine-adjusted incidence"> novel quarantine-adjusted incidence</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a> </p> <a href="https://publications.waset.org/abstracts/163734/stability-analysis-of-modelling-the-effect-of-vaccination-and-novel-quarantine-adjusted-incidence-on-the-spread-of-newcastle-disease" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163734.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">128</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28893</span> Stability Analysis of Endemic State of Modelling the Effect of Vaccination and Novel Quarantine-Adjusted Incidence on the Spread of Newcastle Disease Virus</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nurudeen%20Oluwasola%20Lasisi">Nurudeen Oluwasola Lasisi</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdulkareem%20Afolabi%20Ibrahim"> Abdulkareem Afolabi Ibrahim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Newcastle disease is an infection of domestic poultry and other bird species with virulent Newcastle disease virus (NDV). In this paper, we study the dynamics of modeling the Newcastle disease virus (NDV) using a novel quarantine-adjusted incidence. We do a comparison of Vaccination, linear incident rate, and novel quarantine adjusted incident rate in the models. The dynamics of the models yield disease free and endemic equilibrium states. The effective reproduction numbers of the models are computed in order to measure the relative impact for the individual bird or combined intervention for effective disease control. We showed the local and global stability of endemic equilibrium states of the models, and we found that stability of endemic equilibrium states of models are globally asymptotically stable if the effective reproduction numbers of the models equations are greater than a unit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=effective%20reproduction%20number" title="effective reproduction number">effective reproduction number</a>, <a href="https://publications.waset.org/abstracts/search?q=endemic%20state" title=" endemic state"> endemic state</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=Newcastle%20disease%20virus" title=" Newcastle disease virus"> Newcastle disease virus</a>, <a href="https://publications.waset.org/abstracts/search?q=novel%20quarantine-adjusted%20incidence" title=" novel quarantine-adjusted incidence"> novel quarantine-adjusted incidence</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a> </p> <a href="https://publications.waset.org/abstracts/142540/stability-analysis-of-endemic-state-of-modelling-the-effect-of-vaccination-and-novel-quarantine-adjusted-incidence-on-the-spread-of-newcastle-disease-virus" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142540.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">249</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28892</span> Dynamic of Nonlinear Duopoly Game with Heterogeneous Players</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jixiang%20Zhang">Jixiang Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yanhua%20Wang"> Yanhua Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability of Nash equilibrium, as some parameters of the model are varied, gives rise to complex dynamics such as cycles of higher order and chaos. On this basis, we discover that an increase of adjustment speed of bounded rational player can make Bertrand market sink into the chaotic state. Finally, the complex dynamics, bifurcations and chaos are displayed by numerical simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bertrand%20duopoly%20model" title="Bertrand duopoly model">Bertrand duopoly model</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20dynamical%20system" title=" discrete dynamical system"> discrete dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20expectations" title=" heterogeneous expectations"> heterogeneous expectations</a>, <a href="https://publications.waset.org/abstracts/search?q=nash%20equilibrium" title=" nash equilibrium"> nash equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/37350/dynamic-of-nonlinear-duopoly-game-with-heterogeneous-players" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37350.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">424</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28891</span> Effect of Transition Metal Addition on Aging Behavior of Invar Alloy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Young%20Sik%20Kim">Young Sik Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Tae%20Kwon%20Ha"> Tae Kwon Ha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High strength Fe-36Ni-base Invar alloys containing Al contents up to 0.3 weight per cent were cast into ingots and thermodynamic equilibrium during solidification has been investigated in this study. From the thermodynamic simulation using Thermo-Calc®, it has been revealed that equilibrium phases which can be formed are two kinds of MC-type precipitates, MoC, and M2C carbides. The mu phase was also expected to form by addition of aluminum. Microstructure observation revealed the coarse precipitates in the as-cast ingots, which was non-equilibrium phase and could be resolved by the successive heat treatment. With increasing Al contents up to 0.3 wt.%, tensile strength of Invar alloy increased as 1400MPa after cold rolling and thermal expansion coefficient increased significantly. Cold rolling appeared to dramatically decrease thermal expansion coefficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Invar%20alloy" title="Invar alloy">Invar alloy</a>, <a href="https://publications.waset.org/abstracts/search?q=transition%20metals" title=" transition metals"> transition metals</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20equilibrium" title=" phase equilibrium"> phase equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=aging%20behavior" title=" aging behavior"> aging behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=microstructure" title=" microstructure"> microstructure</a>, <a href="https://publications.waset.org/abstracts/search?q=hardness" title=" hardness"> hardness</a> </p> <a href="https://publications.waset.org/abstracts/26118/effect-of-transition-metal-addition-on-aging-behavior-of-invar-alloy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26118.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">538</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28890</span> Preference Aggregation and Mechanism Design in the Smart Grid</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zaid%20Jamal%20Saeed%20Almahmoud">Zaid Jamal Saeed Almahmoud</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Smart Grid is the vision of the future power system that combines advanced monitoring and communication technologies to provide energy in a smart, efficient, and user-friendly manner. This proposal considers a demand response model in the Smart Grid based on utility maximization. Given a set of consumers with conflicting preferences in terms of consumption and a utility company that aims to minimize the peak demand and match demand to supply, we study the problem of aggregating these preferences while modelling the problem as a game. We also investigate whether an equilibrium can be reached to maximize the social benefit. Based on such equilibrium, we propose a dynamic pricing heuristic that computes the equilibrium and sets the prices accordingly. The developed approach was analysed theoretically and evaluated experimentally using real appliances data. The results show that our proposed approach achieves a substantial reduction in the overall energy consumption. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heuristics" title="heuristics">heuristics</a>, <a href="https://publications.waset.org/abstracts/search?q=smart%20grid" title=" smart grid"> smart grid</a>, <a href="https://publications.waset.org/abstracts/search?q=aggregation" title=" aggregation"> aggregation</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanism%20design" title=" mechanism design"> mechanism design</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/158815/preference-aggregation-and-mechanism-design-in-the-smart-grid" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/158815.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">122</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28889</span> Study of Stability of a Slope by the Soil Nailed Technique</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdelhak%20Soudani">Abdelhak Soudani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Using the limit equilibrium method in geotechnical field is very important for large projects. This work contributes to the understanding and analysis of the building unstable slopes by the technique of soil nailed with the used of software called GEO-SLOPE calculation based on limit equilibrium method. To achieve our objective, we began a review of the literature on landslides, and techniques of slope stability. Then, we presented a real case slope likely to slip through the realization of the EastWest Highway (M5 stretch between Khemis Miliana and Hoceinia). We also process the application of reinforcement technique nailed soil. The analysis is followed by a parametric study, which shows the impact of parameters given or chosen on various outcomes. Another method of reinforcement (use of micro-piles) has been suggested for improving the stability of the slope <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=slope%20stability" title="slope stability">slope stability</a>, <a href="https://publications.waset.org/abstracts/search?q=strengthening" title=" strengthening"> strengthening</a>, <a href="https://publications.waset.org/abstracts/search?q=slip" title=" slip"> slip</a>, <a href="https://publications.waset.org/abstracts/search?q=soil%20nail" title=" soil nail"> soil nail</a>, <a href="https://publications.waset.org/abstracts/search?q=GEO-SLOPE" title=" GEO-SLOPE"> GEO-SLOPE</a> </p> <a href="https://publications.waset.org/abstracts/24455/study-of-stability-of-a-slope-by-the-soil-nailed-technique" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24455.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">468</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28888</span> A Mathematical Model for Hepatitis B Virus Infection and the Impact of Vaccination on Its Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20G.%20Kassem">T. G. Kassem</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Adunchezor"> A. K. Adunchezor</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20P.%20Chollom"> J. P. Chollom</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper describes a mathematical model developed to predict the dynamics of Hepatitis B virus (HBV) infection and to evaluate the potential impact of vaccination and treatment on its dynamics. We used a compartmental model expressed by a set of differential equations based on the characteristic of HBV transmission. With these, we find the threshold quantity R0, then find the local asymptotic stability of disease free equilibrium and endemic equilibrium. Furthermore, we find the global stability of the disease free and endemic equilibrium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hepatitis%20B%20virus" title="hepatitis B virus">hepatitis B virus</a>, <a href="https://publications.waset.org/abstracts/search?q=epidemiology" title=" epidemiology"> epidemiology</a>, <a href="https://publications.waset.org/abstracts/search?q=vaccination" title=" vaccination"> vaccination</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a> </p> <a href="https://publications.waset.org/abstracts/6070/a-mathematical-model-for-hepatitis-b-virus-infection-and-the-impact-of-vaccination-on-its-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6070.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">330</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">28887</span> Dynamics of a Susceptible-Infected-Recovered Model along with Time Delay, Modulated Incidence, and Nonlinear Treatment</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abhishek%20Kumar">Abhishek Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Nilam"> Nilam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As we know that, time delay exists almost in every biological phenomenon. Therefore, in the present study, we propose a susceptible–infected–recovered (SIR) epidemic model along with time delay, modulated incidence rate of infection, and Holling Type II nonlinear treatment rate. The present model aims to provide a strategy to control the spread of epidemics. In the mathematical study of the model, it has been shown that the model has two equilibriums which are named as disease-free equilibrium (DFE) and endemic equilibrium (EE). Further, stability analysis of the model is discussed. To prove the stability of the model at DFE, we derived basic reproduction number, denoted by (R₀). With the help of basic reproduction number (R₀), we showed that the model is locally asymptotically stable at DFE when the basic reproduction number (R₀) less than unity and unstable when the basic reproduction number (R₀) is greater than unity. Furthermore, stability analysis of the model at endemic equilibrium has also been discussed. Finally, numerical simulations have been done using MATLAB 2012b to exemplify the theoretical results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=time%20delayed%20SIR%20epidemic%20model" title="time delayed SIR epidemic model">time delayed SIR epidemic model</a>, <a href="https://publications.waset.org/abstracts/search?q=modulated%20incidence%20rate" title=" modulated incidence rate"> modulated incidence rate</a>, <a href="https://publications.waset.org/abstracts/search?q=Holling%20type%20II%20nonlinear%20treatment%20rate" title=" Holling type II nonlinear treatment rate"> Holling type II nonlinear treatment rate</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/90497/dynamics-of-a-susceptible-infected-recovered-model-along-with-time-delay-modulated-incidence-and-nonlinear-treatment" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/90497.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">162</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Equilibrium%20analysis&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Equilibrium%20analysis&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=Equilibrium%20analysis&page=4">4</a></li> <li class="page-item"><a class="page-link" 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