Electron. J. Diff. Equ., Vol. 2014 (2014), No. 132, pp. 1-18.

Global dynamics for a delayed hepatitis C virus infection model

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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