一类SIRS传染病模型的新Lyapunov函数

New Lyapunov Functions for a Class of SIRS Epidemic Models

通过建立新的Lyapunov函数研究了两类SIRS传染病动力学模型,得到了两类模型的地方病平衡点的全局渐近稳定性.所得结果分别改进了文献[1,2]中的相关结论.

In this paper, we investigate two classes of SIRS epidemic models with varying population size. By constructing new Lyapunov functions, the global asymptotic stability of the endemic equilibrium for these epidemic models is obtained. The results improve the relevant conclusions in [1,2].