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Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function
Yu Yang1, Shigui Ruan, Dongmei Xiao
1School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012, China. yangyu_1981@126.com.
Abstract:
In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R0 of the model is obtained. We investigate the global behavior of the model in terms of R0: if R0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable, whereas if R0 > 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.
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