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An Approximate Numerical Methods for Mathematical and Physical Studies for Covid-19 Models

Computer Systems Science & Engineering 2022年第9期42卷 1147-1163页

作者： Hammad Alotaibi Khaled A.Gepreel Mohamed S.Mohamed Amr M.S.Mahdy Department of Mathematics College of ScienceTaif UniversityTaif21944Saudi Arabia

The advancement in numerical models of serious resistant illnesses is a key research territory in different fields including the nature and the study of disease *** of the aims of these models is to comprehend the elements of conduction of these *** the new strain of Covid-19(Coronavirus),there has been no immunization to protect individuals from the virus and to forestall its spread so *** things being equal,control procedures related to medical services,for example,social distancing or separation,isolation,and travel limitations can be adjusted to control this *** article reveals some insights into the dynamic practices of nonlinear Coronavirus models dependent on the homotopy annoyance strategy(HPM).We summon a novel sign stream chart that is utilized to depict the Coronavirus *** the numerical investigations,it is uncovered that social separation of the possibly tainted people who might be conveying the infection and the healthy virus-free people can diminish or interrupt the spread of the *** mathematical simulation results are highly concurrent with the statistical *** free balance and dependability focus for the Coronavirus model is discussed and the presence of a consistently steady arrangement is demonstrated.

关键词： Covid-19 model optimal control existence of uniformly stable signal stream chart homotopy perturbation technique

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

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Computers, Materials & Continua 2021年第4期67卷 675-686页

作者： Khaled A.Gepreel Mohamed S.Mohamed Hammad Alotaibi Amr M.S.Mahdy Department of Mathematics College of ScienceTaif UniversityTaif21944Saudi Arabia Department of Mathematics Zagazig UniversityZagazig44519Egypt Department of Mathematics Al-Azher UniversityNasr City11884Egypt

The development of mathematical modeling of infectious diseases is a key research area in various elds including ecology and *** aim of these models is to understand the dynamics of behavior in infectious *** the new strain of coronavirus(COVID-19),there is no vaccine to protect people and to prevent its spread so ***,control strategies associated with health care,such as social distancing,quarantine,travel restrictions,can be adopted to control the pandemic of *** 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 *** 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 *** numerical simulation results are in reasonable agreement with the study *** free equilibrium and stability point for the COVID-19 model are ***,the existence of a uniformly stable solution is proved.

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

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