一类具有脉冲接种的SIQRS传染病模型的稳定性分析  

Stability analysis of an SIQRS epidemic model with impulsive vaccination

作　　者：宋燕[1] 高连英[1] 杨秋野[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》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)

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.

关 键 词：脉冲接种 隔离 无病周期解 全局渐近稳定 一致持久 

分 类 号：O175.1[理学—数学]