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- 2018
一类具有两个离散时滞的HTLV-1病毒模型动力学分析
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Abstract:
摘要 目的:研究一类具有细胞内时滞和CTL免疫时滞的HTLV-1病毒动力学行为. 方法:定义依赖于时滞的基本再生数R0,建立一个李雅普诺夫函数研究未感染平衡点稳定性,利用特征方程根是否穿越虚轴判断感染平衡点的稳定性. 结论:当R0<1时,未感染平衡点是全局稳定的;当R0>1时,非感染平衡点存在,存在以下两类情形:(a) 仅考虑细胞内时滞,非感染平衡点在一定条件下是局部渐近稳定的;(b) 仅考虑免疫时滞,系统会产生Hopf分岔.结论:数值模拟验证模型结论有效,可为HTLV-1药物研发提供依据.
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