摘要
考虑了一类具Markov切换和饱和发生率的随机SIR传染病模型,证明了随机系统具有强Feller性和不可约性,并通过构造随机Lyapunov函数给出了系统存在遍历性的充分条件.
A stochastic SIR epidemic model with saturated incidence and Markov switching is considered.Firstly,it is proved that stochastic system possesses strong Feller property and irreducibility.Secondly,by constructing a stochastic Lyapunov function,a sufficient condition for the ergodicity is given.
作者
牛新宇
吕闯
郑甲山
NIU Xin-yu;LYU Chuang;ZHENG Jia-shan(Mathematics Teaching Section,Jilin Medical University,Jilin 132013,China;School of Mathematics and Statistics Science,Ludong University,Yantai 264025,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2021年第1期26-31,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金青年基金资助项目(11601215)
吉林省科技厅科技发展计划项目(20180101194JC).
