Articles

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

  • WANG Shao-Li ,
  • FENG Xin-Long ,
  • HE Yin-Nian
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  • 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 date: 2009-12-25

  Revised date: 2010-05-06

  Online published: 2011-09-20

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(11)60374-3

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