曲阜师范大学学报（自然科学版）2024，Vol.50Issue(1)：1-7,7.DOI:10.3969/j.issn.1001-5337.2024.1.001
具有饱和发生率的多斑块传染病模型的动力学分析
Dynamic analysis of a multi-patch epidemic model with saturated incidence rate
摘要
Abstract
A SVEIQR epidemic model with saturated incidence in a patch environment that incorpo-rates vaccination and quarantine strategies is proposed.Firstly,the matrix representation of the basic re-production number R0 through the construction of the reproduction matrix is obtained.Next,we apply the Lyapunov function method to demonstrate that the global asymptotic stability of the disease-free equilibri-um.Finally,we validate our theoretical results through numerical simulations and carry out sensitivity a-nalysis of R0.Our findings demonstrate that increasing the vaccination rate and quarantine rate can reduce the basic reproduction number;the increase of population migration from high-risk areas to low-risk areas can increase the value of the basic reproduction number.Therefore,after the outbreak of the disease,it is necessary to strictly control the outward flow of population in high-risk areas,and timely vaccination and quarantine strategies should be implemented.关键词
饱和发生率/斑块/SVEIQR传染病模型/稳定性分析Key words
saturated incidence rate/patch/SVEIQR epidemic model/stability analysis分类
数理科学引用本文复制引用
李宇航,刘茂省..具有饱和发生率的多斑块传染病模型的动力学分析[J].曲阜师范大学学报（自然科学版）,2024,50(1):1-7,7.基金项目
国家自然科学基金(12071445,12001501). （12071445,12001501）
