基于整体防护的SIR传染病模型的分析与预测  

Analysis and Prediction of SIR Infectious Disease Model Based on Overall Protection

作　　者：陈婉婷 王火莲 郑仙芳 伍慧玲 CHEN Wanting;WANG Huolian;ZHENG Xianfang;WU Huiling(School of Mathematics and Data Science(Software College),Minjiang University,Fuzhou,Fujian 350108,China)

机构地区：[1]闽江学院数学与数据科学学院(软件学院),福建福州350108

出　　处：《闽江学院学报》2022年第5期26-32,共7页Journal of Minjiang University

基　　金：福建省大学生创新创业训练计划项目(S202110395039)。

摘　　要：建立考虑整体防护因素的SIR传染病模型,运用数学分析的方法得到传染病不扩散的充分条件。对所建立模型进行改进,运用微分方程稳定性理论证明改进模型平衡点的稳定性,并通过数值模拟说明所得的结论。A SIR infectious disease model which takes the overall protection as an important factor is established.The sufficient conditions which guarantee the indiffusion of the infectious diseases was obtained by careful analysis.Moreover,the model is improved,the stability of the equilibrium point of the new model is studied and the results are illustrated by numerical simulation.

关 键 词：SIR传染病模型 整体防护 稳定性分析 

分 类 号：O175.1[理学—数学]