Global dynamics for a delayed hepatitis C virus infection model

Electronic Journal of Differential Equations

卷:2014

Yingying Zhao¹  Zhiting Xu¹ 

[1] South China Normal Univ., Guangzhou, China ;

关键词: Delay virus model;    global stability;    Lyapunov functional;    Beddington-DeAngelis functional response;    LaSalle invariance principle;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we present a delay Hepatitis C virus infection model with Beddington-DeAngelis functional response. We first introducefive 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.

【 授权许可】

Unknown