title: Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function.
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.
authors.affiliation: School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012, China. yangyu_1981@126.com.
authors.forename: Yu
authors.initials: Y
authors.lastname: Yang
authors.forename: Shigui
authors.initials: S
authors.lastname: Ruan
authors.forename: Dongmei
authors.initials: D
authors.lastname: Xiao
mesh_terms: D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D006678:HIV / Q000502:physiology*; D015658:HIV Infections / Q000503:physiopathology* / Q000821:virology*; D006801:Humans; D008954:Models, Biological; D014775:Virus Activation / Q000502:physiology*; D016662:Virus Integration / Q000502:physiology*