A class of delayed viral models with saturation infection rate and immune response |
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| Authors: | Xia Wang Shengqiang Liu |
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| Affiliation: | 1. The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, , Harbin, 150080 Heilongjiang Province, China;2. College of Mathematics and Information Science, Xinyang Normal University, , Xinyang, 464000 Henan, China |
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| Abstract: | In this paper, a class of three delayed viral dynamics models with immune response and saturation infection rate are proposed and studied. By constructing suitable Lyapunov functionals, we derive the basic reproduction number R0 and the corresponding immune response reproduction numbers for the viral infection models, and establish that the global dynamics are completely determined by the values of the related basic reproduction number and immune response reproduction numbers. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | global stability immune response delay saturation infection rate Lyapunov functional |
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