一类具有常数迁入且潜伏期和染病期均传染的流行病模型

Model for a class of epidemic disease with constant immigration and with infectious property in latent period and in fected period

讨论了一类有常数迁入且潜伏期和染病期均传染,潜伏期和染病期传染率相同的SEIS模型。确定的基本再生数R_0,如果R_0≤1,则无病平衡点是全局渐进稳定的,当R_0>1时疾病消除平衡点是不稳定的,地方病平衡点是局部渐进稳定的。

The model for a class of epidemic disease with constant immigration and with the same infectious property in latent period and infected periodis analyzed. If the regenerated number R0 ≤1, then the disease-free equilibrium point is globally progressive. If R0 〉 1, then the disease free equilibrium point is unstable,and the local disease equilibrium point partisaly progressive.