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Preethi</a>; <a href="/authors/rihan.fathalla-a" title="Author Profile">Rihan, F. A.</a></div> <h2 class="title"> <strong>Global dynamics of a fractional-order Ebola model with delayed immune response on complex networks.</strong> <i>(English)</i> <a class="label nowrap" href="/1490.92112">Zbl 1490.92112</a> </h2> <div class="source"> <a href="/serials/2861" title="Journal Profile">Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci.</a> <a href="/?q=in%3A481733" title="Articles in this Issue">91, No. 4, 681-689 (2021)</a>. </div> <div class="abstract"></div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A92D30" title="MSC2020">92D30</a> </td> <td class="space"> Epidemiology </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aebola+virus">ebola virus</a>; <a href="/?q=ut%3Acomplex+networks">complex networks</a>; <a href="/?q=ut%3ACTL+response">CTL response</a>; <a href="/?q=ut%3Astability">stability</a>; <a href="/?q=ut%3Atime-delay">time-delay</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1490.92112" data-ciurl="/ci/07525762" data-biburl="/bibtex/07525762.bib" data-amsurl="/amsrefs/07525762.bib" data-xmlurl="/xml/07525762.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07525762.pdf" title="Zbl 1490.92112 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40010-021-00756-7" aria-label="DOI for “Global dynamics of a fractional-order Ebola model with delayed immune response on complex networks”" title="10.1007/s40010-021-00756-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">J. Astacio D, Briere M, Guillen J, Martinez F, Rodriguez N, Valenzuela-Campos et al. (1996) Mathematical models to study the outbreaks of Ebola, Biometrics unit technical reports 1-28</td> </tr><tr> <td>[2]</td> <td class="space">Leroy, E.; Gonzalez, J.; Pourrut, X., Ebola virus and other lo viruses (2007), Berlin, Heidelberg, New York: Springer, Berlin, Heidelberg, New York</td> </tr><tr> <td>[3]</td> <td class="space">Hoenen, T.; Groseth, A.; Falzarano, D.; Feldmann, H., Ebola virus: unravelling pathogenesis to combat a deadly disease, Trends Mol Med, 12, 206-215 (2006)&nbsp;&middot; <a href="https://doi.org/10.1016/j.molmed.2006.03.006" class="nowrap">doi:10.1016/j.molmed.2006.03.006</a></td> </tr><tr> <td>[4]</td> <td class="space">Lim, S.; Condez, A.; Lee, C.; Johnson, M.; Elia, C.; Poulter, L., Loss of mucosal CD4 lymphocytes is an early feature of HIV infection, Clin Exp Immunol, 92, 448-454 (1993)&nbsp;&middot; <a href="https://doi.org/10.1111/j.1365-2249.1993.tb03419.x" class="nowrap">doi:10.1111/j.1365-2249.1993.tb03419.x</a></td> </tr><tr> <td>[5]</td> <td class="space">Lv, C.; Huang, L.; Yuan, Z., Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response, Commun Nonlinear Sci Numer Simul, 19, 121-127 (2014) &middot; <a href="/1344.92173" class="nowrap">Zbl 1344.92173</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.cnsns.2013.06.025" class="nowrap">doi:10.1016/j.cnsns.2013.06.025</a></td> </tr><tr> <td>[6]</td> <td class="space">Maini, MK; Boni, C.; Lee, CK; Larrubia, JR; Reignat, S., The role of virus-specific CD8+ cells in liver damage and viral control during persistent hepatitis B virus infection, J Exp Med, 191, 1269-1280 (2000)&nbsp;&middot; <a href="https://doi.org/10.1084/jem.191.8.1269" class="nowrap">doi:10.1084/jem.191.8.1269</a></td> </tr><tr> <td>[7]</td> <td class="space">Podlubny, I., Fractional differential equations (1999), United States: Academic Press, United States &middot; <a href="/0924.34008" class="nowrap">Zbl 0924.34008</a></td> </tr><tr> <td>[8]</td> <td class="space">Elbasha, EH, Model for hepatitis C virus transmissions, Math Biosci Eng, 10, 1045-1065 (2013) &middot; <a href="/1273.92053" class="nowrap">Zbl 1273.92053</a>&nbsp;&middot; <a href="https://doi.org/10.3934/mbe.2013.10.1045" class="nowrap">doi:10.3934/mbe.2013.10.1045</a></td> </tr><tr> <td>[9]</td> <td class="space">Guanghong, D.; Chang, L.; Jianqiu, G.; Ling, W.; Ke, C.; Di, Z., SARS epidemical forecast research in mathematical model, Chin Sci Bull, 49, 2332-2338 (2004) &middot; <a href="/1072.92042" class="nowrap">Zbl 1072.92042</a>&nbsp;&middot; <a href="https://doi.org/10.1360/04we0073" class="nowrap">doi:10.1360/04we0073</a></td> </tr><tr> <td>[10]</td> <td class="space">Lahrouz, A.; Omari, L.; Kiouach, D., Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model, Nonlinear Anal Model Control, 16, 59-76 (2011) &middot; <a href="/1271.93015" class="nowrap">Zbl 1271.93015</a>&nbsp;&middot; <a href="https://doi.org/10.15388/NA.16.1.14115" class="nowrap">doi:10.15388/NA.16.1.14115</a></td> </tr><tr> <td>[11]</td> <td class="space">Rihan, FA; Rahman, DA; Lakshmanan, S.; Alkhajeh, A., A time delay model of tumor-immune system interactions: global dynamics, parameter estimation, sensitivity analysis, Appl Math Comput, 232, 606-623 (2014) &middot; <a href="/1410.92053" class="nowrap">Zbl 1410.92053</a></td> </tr><tr> <td>[12]</td> <td class="space">Tewa, JJ; Dimi, JL; Bowong, S., Lyapunov functions for a dengue disease transmission model, Chaos Solitons Fractals, 39, 936-941 (2009) &middot; <a href="/1197.34099" class="nowrap">Zbl 1197.34099</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.chaos.2007.01.069" class="nowrap">doi:10.1016/j.chaos.2007.01.069</a></td> </tr><tr> <td>[13]</td> <td class="space">Koriko, O.; Yusuf, T., Mathematical model to simulate tuberculosis disease population dynamics, Am J Appl Sci, 5, 301-306 (2008)&nbsp;&middot; <a href="https://doi.org/10.3844/ajassp.2008.301.306" class="nowrap">doi:10.3844/ajassp.2008.301.306</a></td> </tr><tr> <td>[14]</td> <td class="space">Jin, Z.; Sun, G.; Zhu, H., Epidemic models for complex networks with demographics, Math Biosci Eng, 11, 1295-1317 (2014) &middot; <a href="/1326.92067" class="nowrap">Zbl 1326.92067</a>&nbsp;&middot; <a href="https://doi.org/10.3934/mbe.2014.11.1295" class="nowrap">doi:10.3934/mbe.2014.11.1295</a></td> </tr><tr> <td>[15]</td> <td class="space">Madar, N.; Kalisky, T.; Cohen, R.; Ben-avraham, D.; Havlin, S., Immunization and epidemic dynamics in complex networks, Eur Phys J B, 38, 269-276 (2004)&nbsp;&middot; <a href="https://doi.org/10.1140/epjb/e2004-00119-8" class="nowrap">doi:10.1140/epjb/e2004-00119-8</a></td> </tr><tr> <td>[16]</td> <td class="space">Nowak, MA; Bangham, CRM, Population dynamics of immune response to persistent viruses, Science, 272, 74-79 (1996)&nbsp;&middot; <a href="https://doi.org/10.1126/science.272.5258.74" class="nowrap">doi:10.1126/science.272.5258.74</a></td> </tr><tr> <td>[17]</td> <td class="space">Lou, J.; Ruggeri, T., The dynamics of spreading and immune strategies of sexually transmitted diseases on scale-free network, J Math Anal Appl, 365, 210-219 (2010) &middot; <a href="/1181.92074" class="nowrap">Zbl 1181.92074</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.jmaa.2009.10.044" class="nowrap">doi:10.1016/j.jmaa.2009.10.044</a></td> </tr><tr> <td>[18]</td> <td class="space">Rihan, FA, Computational methods for delay parabolic and time fractional partial differential equations, Num Methods Partial Differ Equ, 26, 1556-1571 (2010) &middot; <a href="/1204.65114" class="nowrap">Zbl 1204.65114</a>&nbsp;&middot; <a href="https://doi.org/10.1002/num.20504" class="nowrap">doi:10.1002/num.20504</a></td> </tr><tr> <td>[19]</td> <td class="space">Stolerman, LM; Coombs, D.; Boatto, S., SIR-network model and its application to dengue fever, SIAM J Appl Math, 75, 2581-2609 (2015) &middot; <a href="/1357.92075" class="nowrap">Zbl 1357.92075</a>&nbsp;&middot; <a href="https://doi.org/10.1137/140996148" class="nowrap">doi:10.1137/140996148</a></td> </tr><tr> <td>[20]</td> <td class="space">Xia, C.; Wang, L.; Sun, S.; Wang, J., An SIR model with infection delay and propagation vector in complex networks, Nonlinear Dyn, 69, 927-934 (2012)&nbsp;&middot; <a href="https://doi.org/10.1007/s11071-011-0313-y" class="nowrap">doi:10.1007/s11071-011-0313-y</a></td> </tr><tr> <td>[21]</td> <td class="space">Nowzari, C.; Preciado, VM; Pappas, GJ, Analysis and control of epidemics: a survey of spreading processes on complex networks, IEEE Control Syst Mag, 36, 26-46 (2016) &middot; <a href="/1476.92046" class="nowrap">Zbl 1476.92046</a></td> </tr><tr> <td>[22]</td> <td class="space">Area, H.; Batar, J.; Losada, JJ; Nieto, W.; Shammakh, A., Torres, on a fractional-order Ebola epidemic model, Adv Differ Equ, 2015, 278-290 (2015) &middot; <a href="/1344.92150" class="nowrap">Zbl 1344.92150</a>&nbsp;&middot; <a href="https://doi.org/10.1186/s13662-015-0613-5" class="nowrap">doi:10.1186/s13662-015-0613-5</a></td> </tr><tr> <td>[23]</td> <td class="space">Preethi Latha, V.; Rihan, FA; Rakkiyappan, R.; Velmurugan, G., A fractional-order delay differential model for Ebola infection and CD8+ T-cells response :stability analysis and hopf bifurcation, Int J Biomath, 10, 8, 1750111 (2017) &middot; <a href="/1376.92031" class="nowrap">Zbl 1376.92031</a>&nbsp;&middot; <a href="https://doi.org/10.1142/S179352451750111X" class="nowrap">doi:10.1142/S179352451750111X</a></td> </tr><tr> <td>[24]</td> <td class="space">Huo, J.; Zhao, H., Dynamical analysis of a fractional SIR model with birth and death on heterogeneous complex networks, Phys A, 448, 41-56 (2016) &middot; <a href="/1400.92492" class="nowrap">Zbl 1400.92492</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.physa.2015.12.078" class="nowrap">doi:10.1016/j.physa.2015.12.078</a></td> </tr><tr> <td>[25]</td> <td class="space">Preethi Latha, V.; Rihan, FA; Rakkiyappan, R.; Velmurugan, G., A fractional-order model for Ebola virus infection with delayed immune response on heterogeneous complex networks, J Comput Appl Math, 339, 134-146 (2018) &middot; <a href="/1390.34231" class="nowrap">Zbl 1390.34231</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.cam.2017.11.032" class="nowrap">doi:10.1016/j.cam.2017.11.032</a></td> </tr><tr> <td>[26]</td> <td class="space">Mena-Lorcat, J.; Hethcote, HW, Dynamic models of infectious diseases as regulators of population sizes, J Math Biol, 30, 693-716 (1992) &middot; <a href="/0748.92012" class="nowrap">Zbl 0748.92012</a>&nbsp;&middot; <a href="https://doi.org/10.1007/BF00173264" class="nowrap">doi:10.1007/BF00173264</a></td> </tr><tr> <td>[27]</td> <td class="space">Korobeinikov, A.; Wake, GC, Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models, Appl Math Lett, 15, 955-960 (2002) &middot; <a href="/1022.34044" class="nowrap">Zbl 1022.34044</a>&nbsp;&middot; <a href="https://doi.org/10.1016/S0893-9659(02)00069-1" class="nowrap">doi:10.1016/S0893-9659(02)00069-1</a></td> </tr><tr> <td>[28]</td> <td class="space">Aguila-Camacho, N.; Duarte-Mermoud, MA; Gallegos, JA, Lyapunov functions for fractional-order systems, Commun Nonlinear Sci Numer Simul, 19, 2951-2957 (2014) &middot; <a href="/1510.34111" class="nowrap">Zbl 1510.34111</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.cnsns.2014.01.022" class="nowrap">doi:10.1016/j.cnsns.2014.01.022</a></td> </tr><tr> <td>[29]</td> <td class="space">Li, H-L; Zhang, L.; Hu, C.; Jiang, Y-L; Teng, Z., Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge, J Appl Math Comput, 54, 435-449 (2017) &middot; <a href="/1377.34062" class="nowrap">Zbl 1377.34062</a>&nbsp;&middot; <a href="https://doi.org/10.1007/s12190-016-1017-8" class="nowrap">doi:10.1007/s12190-016-1017-8</a></td> </tr><tr> <td>[30]</td> <td class="space">Huo, J.; Zhao, H.; Zhu, L., The effect of vaccines on backward bifurcation in a fractional-order HIV model, Nonlinear Anal Real World Appl, 26, 289-305 (2015) &middot; <a href="/1371.92080" class="nowrap">Zbl 1371.92080</a>&nbsp;&middot; <a href="https://doi.org/10.1016/j.nonrwa.2015.05.014" class="nowrap">doi:10.1016/j.nonrwa.2015.05.014</a></td> </tr><tr> <td>[31]</td> <td class="space">Delavari, H.; Baleanu, D.; Sadati, J., Stability analysis of caputo fractional-order nonlinear systems revisited, Nonlinear Dyn, 67, 2433-2439 (2012) &middot; <a href="/1243.93081" class="nowrap">Zbl 1243.93081</a>&nbsp;&middot; <a href="https://doi.org/10.1007/s11071-011-0157-5" class="nowrap">doi:10.1007/s11071-011-0157-5</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH&nbsp;Open. 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