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

Abstract

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.

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

CLC Number:

34D23

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

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