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VIRAL DYNAMICS IN A DISTRIBUTED TIME DELAYED HCV PATHOGENESIS MODEL 被引量:2

VIRAL DYNAMICS IN A DISTRIBUTED TIME DELAYED HCV PATHOGENESIS MODEL
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摘要 In this paper, we investigate global dynamics for a distributed time delayed HCV infec tion model. Our model admits two possible equilibria, an uninfected equilibrium and infected equilibrium depending on the basic reproduction number. By employing the method of Lyapunov functional, we prove that the uninfected equilibrium is global asymptotically stable if the basic reproduction number is less than one, it is unsta ble and the infected equilibrium is global asymptotically stable if the basic reproduction number is larger than one. The simulations results are in good accordance with our analytic results.
出处 《International Journal of Biomathematics》 2012年第6期141-155,共15页 生物数学学报(英文版)
关键词 Hepatitis C virus viral infection model a distributed time delay globalasymptotic stability Lyapunov functional. 机理模型 时间延迟 分布式 丙型肝炎 Lyapunov泛函 动力学 全局渐近稳定 发病
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