摘要
本文讨论一随机COVID-19传染病模型的动力学行为.利用Lyapunov函数的方法,首先,证明全局正解的存在唯一性.其次,分别给出疫情灭绝性和模型正解存在唯一遍历分布的充分条件.最后,通过数值模拟说明结果的正确性.
In this paper,we study the dynamic behavior of a stochastic COVID-19 epidemic model.By using the method of Lyapunov function,first of all,we show that the global positive solution of model is existence and uniqueness.Secondly,the sufficient conditions for the extinction and the stationary distribution and ergodicity of positive solution of epidemic model are given,respectively.Finally,the correctness of the results is proved by numerical simulation.
作者
秦闯亮
杜金姬
陈海波
惠远先
QIN Chuangliang;DU Jinji;CHEN Haibo;Hui Yuanxian(School of Mathematics and Statistics,Xinyang College,Xinyang 464000,China;School of Mathematics and Statistics,Central South University,Changsha 410075,China;School of Mathematics and Statistics,Huanghuai University,Zhumadian 463000,China)
出处
《应用数学》
CSCD
北大核心
2022年第3期553-562,共10页
Mathematica Applicata
基金
国家自然科学基金项目(11971127)
河南省高等学校重点科研项目(20B110017,22B110006)
信阳学院校级科研项目(2018LYB02)。
