一类具有多时滞和非线性发生率的脉冲接种SEIRS传染病模型

摘要

研究脉冲预防接种下具有非线性发生率和带有多个时滞的SEIRS传染病模型的动力学行为,利用比较原理,证明当R*<1时无病周期解的全局吸引性,并给出当R*>1时疾病持续生存的充分条件.%The dynamical behavior of SEIRS epidemic model with nonlinear incidence rate and multi-delay was studied in the case of impulsive vaccination. By using the comparison principle, the global attractivity of infection-free periodic solution was verified when R* ＜1, and a sufficient condition for the permanence of the epidemic was also given for R* ＞1.