Global dynamics of a intracellular infection model with delays and humoral immunity |
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| Authors: | Jinhu Xu Yicang Zhou Yiqun Li Yali Yang |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, China;2. Science College, Air Force Engineering University, China;3. College of Mathematics and Information Science, Shaanxi Normal University, China |
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| Abstract: | A virus infection model with time delays and humoral immunity has been investigated. Mathematical analysis shows that the global dynamics of the model is fully determined by the basic reproduction numbers of the virus and the immune response, R0 and R1. The infection‐free equilibrium P0 is globally asymptotically stable when R0≤1. The infection equilibrium without immunity P1 is globally asymptotically stable when R1≤1 < R0. The infection equilibrium with immunity P2 is globally asymptotically stable when R1>1. The expression of the basic reproduction number of the immune response R1 implies that the immune response reduces the concentration of free virus as R1>1. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | time delay humoral immunity Lyapunov functional global stability |
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