Global stability of a discrete virus dynamics model with Holling type‐II infection function |
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Authors: | Yu Yang Xinsheng Ma Yahui Li |
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Affiliation: | School of Science and Technology, Zhejiang International Studies University, China |
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Abstract: | In this paper, we propose a discrete virus dynamics model with Holling type‐II infection function. By constructing Lyapunov function, we prove that if , then the infection‐free equilibrium is globally asymptotically stable; whereas if , then sufficient conditions are established for global stability of the infection equilibrium. Our results generalize some known results studied by other researchers. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | virus dynamics model non‐standard finite difference Lyapunov function global stability subclass39A30 65Q10 92D30 |
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