文献类型：期刊文献

英文题名：Dynamics of SCIR Modeling for COVID-19 with Immigration

作者：Li, Haiyin[1];Wu, Yan[2]

第一作者：李海银

通讯作者：Wu, Y[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou 450046, Peoples R China;[2]Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China.

年份：2022

卷号：2022

外文期刊名：COMPLEXITY

收录：;EI(收录号：20222212160636);Scopus(收录号：2-s2.0-85130509885);WOS:【SCI-EXPANDED(收录号:WOS:000815806700004)】；

基金：The work was partially supported by "the National Natural Science Foundation of China (Grant nos. 11701250 and 12171221)" and by "the Natural Science Foundation of Shangdong Province (Grant no. ZR2019YQ04).

语种：英文

外文关键词：Lyapunov functions - Disease control - Asymptotic stability - Hopf bifurcation

摘要：In this study, for COVID-19, we divide people into four categories: susceptible St, closely contacted Ct, infective It, and removed Rt according to the current epidemic situation and then investigate two models: the SCIR models with immigration (Model (2) and without immigration (Model 1). For the former, Model 1, we obtain the condition for global stability of its disease-free equilibrium. For the latter, Model 2, we establish the local asymptotic stability of its endemic equilibrium by constructing Lyapunov function. Afterwards, by the bifurcation theory, we qualitatively analyze the properties of its Hopf bifurcations of the latter. Finally, numerical simulations are given to illustrate the obtained results of two models. The results imply the importance of finding closely contacted and overseas imports on epidemic control. It indicates that not only the incubation delay tau is crucial for the containment of the COVID-19 but also the scientific and rigorous containment measures are the key factors of the success of the containment.