Mathematical analysis of a virus dynamics model with general incidence rate and cure rate期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

Authors:	Khalid Hattaf Noura YousfiAbdessamad Tridane

Affiliation:	^a Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O Box 7955 Sidi Othman, Casablanca, Morocco ^b Department of Applied Sciences and Mathematics, Arizona State University at the Polytechnic campus, Mesa, AZ 85212, USA

Abstract:	The rate of infection in many virus dynamics models is assumed to be bilinear in the virus and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model with general incidence rate and cure rate is studied. Global dynamics of the model is established. We prove that the virus is cleared and the disease dies out if the basic reproduction number R₀≤1 while the virus persists in the host and the infection becomes endemic if R₀>1.

Keywords:	Virus dynamics General incidence rate Cure rate Global stability Barbalat&rsquo s lemma
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