Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response
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Authors
Kejun Zhuang
- School of Statistics and Applied Mathematics , Anhui University of Finance and Economics, Bengbu 233030, China.
Abstract
In this paper, a four-dimensional system of viral model with cytotoxic lymphocyte (CTL) immune response is investigated. This model is a reaction-diffusion system with
Beddington-DeAngelis incidence rate and free diffusion in a bounded domain. With the help of comparison principle and Lyapunov function method, the well-posedness of solutions and sufficient conditions for global stability of nonnegative equilibria are established. It can be found that free diffusion has no influence on the global stability of the system with homogeneous Neumann boundary conditions.
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ISRP Style
Kejun Zhuang, Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5753--5762
AMA Style
Zhuang Kejun, Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response. J. Nonlinear Sci. Appl. (2017); 10(11):5753--5762
Chicago/Turabian Style
Zhuang, Kejun. "Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5753--5762
Keywords
- Viral model
- global stability
- Beddington-DeAngelis incidence rate
- CTL immune response
MSC
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