Stability analysis of an SEIRS model for the spread of malaria

International Journal of Applied Mathematics and Computation

Manju Agarwal¹  Vinay Verma¹ 

[1] Lucknow University, Lucknow$$

关键词: Susceptible;    infective;    recovered;    reproductive number;    stability analysis;    mosquito population;    malaria;    numerical simulation.;   

DOI  :  10.0000/ijamc.2012.4.1.306

来源: PSIT Kanpur

【 摘 要 】

In this paper, an mathematical model for the spread of malaria that incorporates recruitment of human population through constant immigration is considered. The growth of mosquito population density is taken to be logistic. We define a reproductive number, and observe that the disease-free equilibrium is unstable when We prove the existence and local asymptotic stability of endemic equilibrium point for By stability analysis of ordinary differential equation, the conditions for global stability of endemic equilibrium are obtained. It is found that when the constant immigration rate and the recovery rate coefficient of the human population increases, the infective human population increases. Further, it is shown that as the growth rate and carrying capacity of mosquito population increases, the infective human population increases.

【 授权许可】

Unknown