Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19in Nigeria Using Atangana-Baleanu Operator
作者机构：Department of MathematicsUniversity of IlorinIlorinKwaraNigeria Department of MathematicsAKI’s Poona College of ArtsScience and CommerceCampPuneIndia Department of MathematicsCollege of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi AldawaserSaudi Arabia Department of MathematicsCankaya UniversityAnkara06790Turkey Institute of Space SciencesMagurele-Bucharest077125Romania Department of Medical ResearchChina Medical University HospitalChina Medical UniversityTaichung40447Taiwan Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam
出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)
年 卷 期：2021年第66卷第2期
页 面：1823-1848页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Mathematical model COVID-19 Atangana-Baleanu fractional operator existence of solutions stability analysis numerical simulation
摘 要：We propose a mathematical model of the coronavirus disease 2019(COVID-19)to investigate the transmission and control mechanism of the disease in the community of *** stability theory of differential equations,the qualitative behavior of model is *** pandemic indicator represented by basic reproductive number R0 is obtained from the largest eigenvalue of the next-generation *** as well as global asymptotic stability conditions for the disease-free and pandemic equilibrium are obtained which determines the conditions to stabilize the exponential spread of the ***,we examined this model by using Atangana–Baleanu fractional derivative operator and existence criteria of solution for the operator is *** consider the data of reported infection cases from April 1,2020,till April 30,2020,and parameterized the *** have used one of the reliable and efficient method known as iterative Laplace transform to obtain numerical *** impacts of various biological parameters on transmission dynamics of COVID-19 is *** results are based on different values of the fractional parameter and serve as a control parameter to identify the significant strategies for the control of the *** the end,the obtained results are demonstrated graphically to justify our theoretical findings.
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