吉林大学学报（理学版）2017，Vol.55Issue(6)：1379-1386,8.DOI:10.13413/j.cnki.jdxblxb.2017.06.06
随机SIR传染病模型的平稳分布及其稳定性
Stationary Distribution of Stochastic SIR Epidemic Model and Its Stability
摘要
Abstract
We considered a class of stochastic SIR epidemic models with saturated incidence.By using Markov semigroup theory,we proved that the system had a unique stable stationary distribution when R s0 >1.关键词
饱和发生率/平稳分布/Markov半群/渐近稳定性Key words
saturated incidence/stationary distribution/Markov semigroup/asymptotic stability分类
数理科学引用本文复制引用
靳曼莉,林玉国..随机SIR传染病模型的平稳分布及其稳定性[J].吉林大学学报（理学版）,2017,55(6):1379-1386,8.基金项目
吉林省教育厅"十三五"科学技术研究项目(批准号:[2016]47)和吉林省科技厅项目(批准号:20160101264JC). （批准号:[2016]47）
