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

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 equilibrium and immune-free equilibrium of the model are...

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Published inActa mathematica scientia Vol. 31; no. 5; pp. 1959 - 1967
Main Author 王绍利 冯新龙 何银年
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2011
College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China%College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China%Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China
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ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(11)60374-3

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Summary: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 equilibrium 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 diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions.
Bibliography:42-1227/O
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 equilibrium 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 diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions.
Wang Shaoli 1 Feng Xinlong 2 He Yinnian 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
HBV infection; diffusion; CTL immune response; nonlinear incidence; global asymptotical stability
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content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(11)60374-3