TY - JFULL AU - Nisha Budhwar and Sunita Daniel PY - 2017/3/ TI - Stability Analysis of a Human-Mosquito Model of Malaria with Infective Immigrants T2 - International Journal of Mathematical and Computational Sciences SP - 84 EP - 89 VL - 11 SN - 1307-6892 UR - https://publications.waset.org/pdf/10006588 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 122, 2017 N2 - 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. ER -