Modeling and stability analysis of the spread of novel coronavirus disease COVTD-19  

作　　者：A.George Maria Selvam Jehad Alzabut D.Abraham Vianny Mary Jacintha Fatma Bozkurt Yousef 

机构地区：[1]PG and Research Department of Mathematics Sacred Heart College(Autonomous),Tirupattur 635601,India [2]Department of Mathematics and Science Education Faculty of Education,Erciyes University,38039 Kayseri,Turkey [3]Department of Mathematics and General Sciences Prince Sultan University,11586 Riyadh,Saudi Arabia [4]Department of Mathematics Kuwait College of Science and Technology 27235 Kuwait City,Kuwait

出　　处：《International Journal of Biomathematics》2021年第5期239-272,共34页生物数学学报（英文版）

基　　金：supported by the research project:Modeling and Stability Analysis of the Spread of Novel Coronavirus Disease COVID-19;Prince Sultan University,Saudi Arabia[grant number COVTD19-DES-2020-66].

摘　　要：Towards the end of 2019,the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2(COVID-19),a new strain of coronavirus that was unidentified in humans previously.In this paper,a new fractional-order Susceptible-Exposed-Infected-Hospitalized-Recovered(SEIHR)model is formulated for COVID-19,where the population is infected due to human transmission.The fractional-order discrete version of the model is obtained by the process of discretization and the basic reproductive number is calculated with the next-generation matrix approach.All equilibrium points related to the disease transmission model are then computed.Further,sufficient conditions to investigate all possible equilibria of the model are established in terms of the basic reproduction number(local stability)and are supported with time series,phase portraits and bifurcation diagrams.Finally,numerical simulations are provided to demonstrate the theoretical findings.

关 键 词：Discrete fractional order SEIHR model equilibrium points STABILITY BIFURCATION 

分 类 号：O17[理学—数学]