Global stability of a virus dynamics model with intracellular delay and CTL immune response |
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| Authors: | Xiaojuan Li Shengmao Fu |
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| Affiliation: | 1. School of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu, China;2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, China |
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| Abstract: | 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, R0, is less than or equal to one, the infection‐free equilibrium is globally asymptotically stable; if R0 is more than one, and if immune response reproductive number, R0, is less than one, the immune‐free equilibrium is globally asymptotically stable, and if R0 is more than one, the endemic equilibrium is globally asymptotically stable. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | virus dynamics model intracellular delay Lyapunov function stability subclassPrimary: 92B05 92C50 Secondary: 92D25 |
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