一类具有脉冲接种的SIQRS传染病模型稳定性分析

摘要

This paper considers the periodic pulse vaccination of susceptible and the isolation control of the infective,a SEIQR epidemic model is established.The sufficient condition for stability of disease-free periodic solution and permanence of disease are obtained by pulse equation theory.%考虑了对易感者周期性接种疫苗和对染病者采取隔离控制疾病措施,建立了一类SIQRS传染病模型,利用脉冲方程理论,给出了无病周期解稳定性及疾病一致持久性的充分条件.