一类具有状态依赖脉冲控制的SIVS传染病模型的动力学行为研究Dynamical Behaviors for a SIVS Epidemic Model with State Dependent Pulse Vaccination
沈靖云;聂麟飞;
摘要(Abstract)：
建立了一类全新的具有状态依赖脉冲控制策略的SIVS传染病动力学控制模型,通过使用常微分方程的定性理论、Poincar′e映射以及微分不等式等方法,得到了该控制模型的正阶-1或阶-2周期解的存在性与稳定性的判别准则.数值模拟验证了理论结果的正确性与状态依赖脉冲控制策略的可行性.
关键词(KeyWords)： SIVS传染病模型;状态依赖脉冲控制;周期解;轨道稳定性
基金项目(Foundation): 国家自然科学基金(11461067)
作者(Authors): 沈靖云;聂麟飞;
DOI: 10.13568/j.cnki.651094.2016.03.008
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