Lyapunov函数在一类随机扰动的SIS-VS传染病系统中的应用

Application of Lyapunov Function in a Class of SIS-VS Epidemic Systems with Random Perturbation

考虑一类具有随机扰动的SIS-VS传染病系统,应用新的Lyapunov函数研究该系统的遍历性,得到了该随机传染病系统平稳分布存在性和遍历性的充分条件.结果表明,Lyapunov函数的构造方法改进了依赖于确定性模型的地方病平衡点和疾病致死率限制的已有结果,得到了更适用的条件.

We considered a class of SIS-VS epidemic system with random perturbation,applied the new Lyapunov function to study the ergodicity of the system,and obtained the sufficient conditions for the existence and ergodicity ofthe stationary distribution of the stochastic epidemic system.The results showthat the construction method of Lyapunov function improves the existing resultsof endemic equilibrium and the mortality,which depend on the deterministic models,and obtains more applicableconditions.