The Stability of a Virus Infection Model with Nonlinear Infections Rate ate and Double Linearity Immune Response
In this paper, a virus infection dynamics model with nonlinear infections rate and double linearity immune response is studied. By analyzing the corresponding characteristic equation, the local stability of each of feasible equilibri of the model is discussed. By constructing appropriate Lyapunov functional, the global stability of the infection-free equilibrium and the immune-free infection equilibrium and virus infection equilibrium are proved. Numerical simulations are carried out to illustrate the theoretical results.
virus infection model nonlinear infections rate double linearity immune response Lyapunov functional stability numerical simulation
Ming ZHAO
Mathematics College, Beihua University, Jilin City 132013, Jilin, China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
396-399
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）