Global stability in a viral infection model with lytic and nonlytic immune responses

被引:77
|
作者
Wang, Kaifa [1 ]
Wang, Wendi
Liu, Xianning
机构
[1] SW China Normal Univ, Fac Life Sci, Minist Educ, Key Lab Ecoenvironm 3 Gorges Reservoir Reg, Chongqing 400715, Peoples R China
[2] SW China Normal Univ, Dept Math, Chongqing 400715, Peoples R China
关键词
virus dynamics; immune responses; global stability; uniform persistence; center manifold;
D O I
10.1016/j.camwa.2005.07.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates the global stability of a viral infection model with lytic and nonlytic immune responses. If the basic reproductive ratio of the virus is less than or equal to one, by the LaSalle's invariance principle and center manifold theorem. the disease-free steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is greater than one, then the virus persists in the host and the disease steady state is locally asymptotically stable. Furthermore, by the method of Lyapunov function, the global stability of the disease stead, v state is established. At the same time, if we neglect the efficacy of the lytic component, using a geometrical approach, we obtain a different type of conditions for the global stability of the disease steady state. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1593 / 1610
页数:18
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