具有饱和发生率的SIRS传染病模型的稳定性

Stability Analysis for an SIRS Epidemic Model with Saturation Incidence

研究了一类饱和发生率且各类都具有常数输入的SIRS型传染病模型,通过构造合适的Lyapunov函数,在一定条件下得到了模型地方病平衡点的全局渐近稳定性。

A class of SIRS epidemic model with saturation incidence and constant input number is researched. By constructing suitable Lyapunov function,under certain conditions,we get the global asymptotic stability of the endemic equilibrium for this model.