摘要
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.
In this paper, we investigate the dynamical behavior for a novel SIVS epidemic model with state dependent pulse vaccination control strategies. Some sufficient conditions for the existence and orbital stability of the order-1 or order-2 periodic solution are obtained by the qualitative theory of ordinary differential equation, Poincar′e map and theory of differential inequalities. Numerical simulations illustrate the validity and feasibility of the theoretical results of the state dependent pulse control strategies.
出处
《新疆大学学报（自然科学版）》
CAS
北大核心
2016年第3期296-300,共5页
Journal of Xinjiang University(Natural Science Edition)
基金
国家自然科学基金(11461067)
