摘要
研究具有常数输入及非线性传染率的脉冲接种SIQRS传染病模型,利用脉冲微分方程的Floquet定理及比较定理得到了无病周期解全局渐近稳定的充分条件及系统一致持久的充分条件.
This paper deals with an SIQRS epidemic model of impulsive vaccination with constant input and nonlinearity of incidence rate. Using the Floquet theorem and compare theorem of impulsive differential equation, the sufficient condition is obtained under which the disease -free periodic solution is globally asymptotically sta- ble. It is proved that the system is uniform permanence under some conditions.
出处
《渤海大学学报（自然科学版）》
CAS
2014年第3期211-217,共7页
Journal of Bohai University:Natural Science Edition
基金
国家自然科学基金项目(No:61070242)
辽宁省教育厅项目(No:L2012404)
关键词
脉冲接种
隔离
无病周期解
全局渐近稳定
一致持久
impulsive vaccination
quaranti
disease - free periodic solution
globally asymptotically sta-ble
uniform permanence
