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Global stability of a discrete virus dynamics model with Holling type‐II infection function
Authors:Yu Yang  Xinsheng Ma  Yahui Li
Institution:School of Science and Technology, Zhejiang International Studies University, China
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 urn:x-wiley:mma:media:mma3624:mma3624-math-0001, then the infection‐free equilibrium is globally asymptotically stable; whereas if urn:x-wiley:mma:media:mma3624:mma3624-math-0002, 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.
Keywords:virus dynamics model  non‐standard finite difference  Lyapunov function  global stability  subclass39A30  65Q10  92D30
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