节点文献
一类新冠肺炎的流行病学模型稳定性研究
Study on the stability of an epidemiological model of a type of COVID-19
【摘要】 为了研究新型冠状病毒肺炎(简称:新冠肺炎, COVID-19)疫情的传播规律,根据其特点建立一类描述新冠肺炎传播动力学机制的SEIS传染病模型,并应用奇异摄动理论和稳定性理论,给出了新冠肺炎传播的无病平衡点和地方病平衡点全局渐近稳定性的条件,最后通过数值仿真的方法进行分析验证.
【Abstract】 In order to study the spread of COVID-19, a kind of SEIS model describing the dynamic mechanism of the propagation of COVID-19 was established according to its characteristics. The conditions for the global stability of the disease-free equilibrium and the endemic equilibrium for the propagation of COVID-19 were provided by using the singular perturbation theory and the stability theory. Finally, numerical simulation was used to analyze and verify the results.
【关键词】 奇异摄动理论;
全局渐近稳定;
流行病;
【Key words】 singular perturbation theory; global asymptotics; epidemiological;
【Key words】 singular perturbation theory; global asymptotics; epidemiological;
【基金】 国家自然科学基金(11661010)
- 【文献出处】 纯粹数学与应用数学 ,Pure and Applied Mathematics , 编辑部邮箱 ,2021年04期
- 【分类号】R181.3;O175
- 【下载频次】503