caa a22 4500 445361832 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-011-9954-0 doi (NATIONALLICENCE)springer-10.1007/s11071-011-9954-0 Global stability of a virus dynamics model withBeddington-DeAngelis incidence rate andCTLimmuneresponse [Elektronische Daten] [Xia Wang, Youde Tao, Xinyu Song] In this paper, the global stability of virus dynamics model with Beddington-DeAngelis infection rate and CTL immune response is studied by constructing Lyapunov functions. We derive the basic reproduction number R 0 and the immune response reproduction number R 0 for the virus infection model, and establish that the global dynamics are completely determined by the values of R 0. We obtain the global stabilities of the disease-free equilibrium E 0, immune-free equilibrium E 1 and endemic equilibrium E ∗ when R 0≤1, R 0>1, R 0>1, respectively. Springer Science+Business Media B.V., 2011 Virus dynamics nationallicence CTL immune response nationallicence Beddington-DeAngelis nationallicence Global stability nationallicence Lyapunov function nationallicence Wang Xia Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, P.R. China aut Tao Youde College of Mathematics and Information Science, Xinyang Normal University, 464000, Xinyang, Henan, P.R. China aut Song Xinyu College of Mathematics and Information Science, Xinyang Normal University, 464000, Xinyang, Henan, P.R. China aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 825-830 0924-090X 66:4<825 2011 66 11071 https://doi.org/10.1007/s11071-011-9954-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-011-9954-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Xia Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, Heilongjiang, P.R. China aut NATIONALLICENCE 700 1- Tao Youde College of Mathematics and Information Science, Xinyang Normal University, 464000, Xinyang, Henan, P.R. China aut NATIONALLICENCE 700 1- Song Xinyu College of Mathematics and Information Science, Xinyang Normal University, 464000, Xinyang, Henan, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 825-830 0924-090X 66:4<825 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer