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Global stability of a virus dynamics model with intracellular delay and CTL immune response
Author(s) -
Li Xiaojuan,
Fu Shengmao
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3078
Subject(s) - stability theory , ctl* , mathematics , basic reproduction number , stability (learning theory) , control theory (sociology) , immune system , lyapunov function , dynamics (music) , invariance principle , biology , computer science , immunology , physics , nonlinear system , control (management) , demography , population , linguistics , philosophy , quantum mechanics , machine learning , artificial intelligence , sociology , acoustics , cd8
In this paper, the global stability of a virus dynamics model with intracellular delay, Crowley–Martin functional response of the infection rate, and CTL immune response is studied. By constructing suitable Lyapunov functions and using LaSalles invariance principle, the global dynamics is established; it is proved that if the basic reproductive number, R 0 , is less than or equal to one, the infection‐free equilibrium is globally asymptotically stable; if R 0 is more than one, and if immune response reproductive number, R 0 , is less than one, the immune‐free equilibrium is globally asymptotically stable, and if R 0 is more than one, the endemic equilibrium is globally asymptotically stable. Copyright © 2014 John Wiley & Sons, Ltd.