Dynamical Behaviors of Nonlinear Coronavirus (COVID-19) Model with Numerical Studies

作     者：Khaled A.Gepreel Mohamed S.Mohamed Hammad Alotaibi Amr M.S.Mahdy 

作者机构：Department of MathematicsCollege of ScienceTaif UniversityTaif21944Saudi Arabia Department of MathematicsZagazig UniversityZagazig44519Egypt Department of MathematicsAl-Azher UniversityNasr City11884Egypt 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2021年第67卷第4期

页      面：675-686页

核心收录：

学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 0808[工学-电气工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：funded by“Taif University Researchers Supporting Project Number(TURSP-2020/16) Taif University Taif Saudi Arabia.”。 

主　　题：Nonlinear COVID-19 model equilibrium point stability existence of uniformly stable signal ow graph homotopy perturbation method reduced differential transform method 

摘      要：The development of mathematical modeling of infectious diseases is a key research area in various elds including ecology and epidemiology.One aim of these models is to understand the dynamics of behavior in infectious diseases.For the new strain of coronavirus(COVID-19),there is no vaccine to protect people and to prevent its spread so far.Instead,control strategies associated with health care,such as social distancing,quarantine,travel restrictions,can be adopted to control the pandemic of COVID-19.This article sheds light on the dynamical behaviors of nonlinear COVID-19 models based on two methods:the homotopy perturbation method(HPM)and the modied reduced differential transform method(MRDTM).We invoke a novel signal ow graph that is used to describe the COVID-19 model.Through our mathematical studies,it is revealed that social distancing between potentially infected individuals who are carrying the virus and healthy individuals can decrease or interrupt the spread of the virus.The numerical simulation results are in reasonable agreement with the study predictions.The free equilibrium and stability point for the COVID-19 model are investigated.Also,the existence of a uniformly stable solution is proved.