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...
Saved in:
Published in | Acta mathematica scientia Vol. 31; no. 5; pp. 1959 - 1967 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
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 |
Subjects | |
Online Access | Get full text |
ISSN | 0252-9602 1572-9087 |
DOI | 10.1016/S0252-9602(11)60374-3 |
Cover
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 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0252-9602 1572-9087 |
DOI: | 10.1016/S0252-9602(11)60374-3 |