摘要
本文讨论了一类具有脉冲接种和阶段传染的SIVR传染病模型,利用不动点定理证明了该模型无病周期解的存在性,利用Floquet乘子理论和脉冲微分方程比较定理得到了无病周期解全局渐近稳定的充分条件.
In this paper,An SIVR epidemic model with stage of infection and pulse vaccination is discussed.The existence of disease-free periodic solution is obtained by using the theory of fixed point,the sufficient conditions for the global asymptotical stability of the disease-free periodic solution are obtained by using the Floquet theory and comparison theorem of impulsive equations.
出处
《山西师范大学学报（自然科学版）》
2010年第3期23-26,共4页
Journal of Shanxi Normal University(Natural Science Edition)
关键词
传染病模型
脉冲接种
全局渐近稳定
epidemic model
pulse vaccination
global asymptotical stability
