北华大学学报（自然科学版）2025，Vol.26Issue(1)：1-9,9.DOI:10.11713/j.issn.1009-4822.2025.01.001
均值回归过程扰动下具双重流行假设的随机SIS流行病模型
A Stochastic SIS Epidemic Model with Double Epidemic Hypothesis under Mean Regression Process
摘要
Abstract
A class of stochastic SIS epidemic model with dual epidemic hypothesis under nonlinear incidence rate is considered.First,a stochastic model is established by perturbing the transmission rate under the mean regression process;Secondly,it has been theoretically proven that the stochastic model has a unique global positive solution;Next,sufficient conditions for the extinction of two infectious diseases are obtained by constructing Lyapunov functions.Finally,it is further derived that when R*1>1,R′2<1,the diseases I1 will persist and I2 will become exti-nct;When R′1<1,R*2>1,the diseases I2 will persist and I1 will become extinct;When R*1>1,R*2>1,the dise-ases I1 and I2 will persist.关键词
SIS模型/均值回归过程/李雅普诺夫函数Key words
SIS model/mean regression process/Lyapunov function分类
数学引用本文复制引用
李佳琦,林玉国..均值回归过程扰动下具双重流行假设的随机SIS流行病模型[J].北华大学学报（自然科学版）,2025,26(1):1-9,9.基金项目
吉林省自然科学基金项目(YDZJ202201ZYTS648). （YDZJ202201ZYTS648）
