Primary: 35L60, 92C37; Secondary: 35B35, 34K20.

Export file:

Format

• RIS(for EndNote,Reference Manager,ProCite)
• BibTex
• Text

Content

• Citation Only
• Citation and Abstract

Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function

1. School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012
2. Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250
3. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240

## Abstract    Related pages

In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number $\mathcal{R}_{0}$ of the model is obtained. We investigate the global behavior of the model in terms of $\mathcal{R}_{0}$: if $\mathcal{R}_{0}\leq1$, then the infection-free equilibrium is globally asymptotically stable, whereas if $\mathcal{R}_{0}>1$, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered.
Figure/Table
Supplementary
Article Metrics