摘要
研究了一类具有logistic增长的随机SIRS传染病模型.通过Lyapunov函数法,证明了模型全局正解的存在唯一性.给出了模型正解存在平稳分布以及疾病灭绝的充分条件.
A class of stochastic SIRS epidemic model with logistic growth was researched.The existence of a unique of the globel positive solution of the model was proved by using the Lyapunov function method.The sufficient conditions for the existence of a stationary distribution of the positive solutions to the model and the extinction of the disease were obtained.
作者
杜金姬
秦闯亮
DU Jinji;QIN Chuangliang(School of Mathematics and Information,Xinyang College,Xinyang 464000,China)
出处
《高师理科学刊》
2020年第10期13-17,共5页
Journal of Science of Teachers＇College and University
基金
河南省高等学校重点科研项目(20B110017)
信阳市规划项目(2019TS010)
信阳学院资助项目(2018LYB02,2018LYB09)。
