GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br#
NONLINEAR INCIDENCE

doi:10.1016/S0252-9602(11)60374-3

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1959-1967.doi: 10.1016/S0252-9602(11)60374-3

GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE

王绍利¹|冯新龙²|何银年^1,2*

1. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China;
2. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China

收稿日期:2009-12-25 修回日期:2010-05-06 出版日期:2011-09-20 发布日期:2011-09-20
通讯作者: 何银年，heyn@mail.xjtu.edu.cn E-mail:wangshaoli110@163.com; fxlmath@gmail.com; heyn@mail.xjtu.edu.cn
基金资助:
This work is in parts supported by the National Natural Science Foundation of China (10971166, 10901131), and the National High Technology Research and Development Program of China (863 Program, 2009AA01A135) and the Natural Science Foundation of Xinjiang Province (2010211B04).

GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE

WANG Shao-Li¹, FENG Xin-Long², HE Yin-Nian^1,2*

1. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China;
2. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China

Received:2009-12-25 Revised:2010-05-06 Online:2011-09-20 Published:2011-09-20
Contact: HE Yin-Nian，heyn@mail.xjtu.edu.cn E-mail:wangshaoli110@163.com; fxlmath@gmail.com; heyn@mail.xjtu.edu.cn

摘要/Abstract

摘要：

This article proposes a diffused hepatitis B virus (HBV) model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equi-librium and immune-free equilibrium of the model are obtained. Global stability of the positive equilibrium of the model is also considered. The results show that the free diffu-sion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions.

关键词: HBV infection, diffusion, CTL immune response, nonlinear incidence, global asymptotical stability

Abstract:

Key words: HBV infection, diffusion, CTL immune response, nonlinear incidence, global asymptotical stability

中图分类号:

34D23

王绍利, 冯新龙, 何银年. GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE[J]. 数学物理学报(英文版), 2011, 31(5): 1959-1967.

WANG Shao-Li, FENG Xin-Long, HE Yin-Nian. GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE[J]. Acta mathematica scientia,Series B, 2011, 31(5): 1959-1967.

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GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE

GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND#br# NONLINEAR INCIDENCE

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