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.
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)
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)。
关键词
SIR传染病模型
整体防护
稳定性分析
SIR infectious disease model
overall protection
stability analysis
