具有脉冲出生的SIS传染病模型的生存性

Persistence of SIS epidemic model with birth pulse

在假设研究地区的人口数量不随时间变化的情况下,讨论了具有脉冲出生的SIS传染病模型的动力学性质。给出了系统的无病周期解并且得出了无病周期解是渐进稳定的结论。通过脉冲方程的比较定理,分步骤讨论,在一定的假设条件下,给出了系统是永存的结论。

Assuming that the size of population considered area don′t change about time,dynamic of SIS epidemic model with birth pulse is investigated.Free-disease periodic solution is obtained and is proved to be asymptotical.Finally,comparison theorem on pulse differential equations,it is concluded that the system is persistent under some assumption.