Yingying Zhao, Zhiting Xu
Abstract:
In this paper, we present a delay Hepatitis C virus infection model
with Beddington-DeAngelis functional response. We first introduce
five reproduction numbers, and then show that the system has five possible
equilibria depended on the reproductive numbers.
By constructing suitable Lyapunov functionals, the global dynamics for the five
equilibria of the model is completely determined by the five reproductive numbers.
Submitted February 16, 2014. Published June 10, 2014.
Math Subject Classifications: 34K18, 34K20, 92D30.
Key Words: Delay virus model; global stability; Lyapunov functional;
Beddington-DeAngelis functional response; LaSalle invariance principle.
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Yingying Zhao School of Mathematical Sciences, South China Normal University Guangzhou 510631, China email: 865564950@qq.com | |
Zhiting Xu School of Mathematical Sciences, South China Normal University Guangzhou 510631, China email: xuzhit@126.com |
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