Global asymptotical properties for a diffused HBV infection model with CTL immune response and nonlinear incidence |
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| Authors: | Wang Shaoli Feng Xinlong He Yinnian |
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| Institution: | aFaculty of Science, Xi'an Jiaotong University, Xi'an 710049, China;bCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China |
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| 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 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. |
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| Keywords: | HBV infection diffusion CTL immune response nonlinear incidence global asymptotical stability |
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