Qualitative Analysis of a Fractional Pandemic Spread Model of the Novel Coronavirus (COVID-19)

作     者：Ali Yousef Fatma Bozkurt Thabet Abdeljawad 

作者机构：Department of MathematicsKuwait College of Science and Technology27235Kuwait Department of MathematicsErciyes UniversityKayseri38039Turkey Department of Mathematics and General SciencesPrince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical ResearchChina Medical UniversityTaichung40402Taiwan Department of Computer Science and Information EngineeringAsia UniversityTaichungTaiwan 

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1期

页      面：843-869页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Erciyes Üniversitesi 

主　　题：Allee Effect coronavirus fractional-order differential equations local stability Neimark–Sacker bifurcation 

摘      要：In this study,we classify the genera of COVID-19 and provide brief information about the root of the spread and the transmission from animal(natural host)to *** establish a model of fractional-order differential equations to discuss the spread of the infection from the natural host to the intermediate one,and from the intermediate one to the human *** the same time,we focus on the potential spillover of bat-borne *** consider the local stability of the co-existing critical point of the model by using the Routh–Hurwitz ***,we analyze the existence and uniqueness of the constructed initial value *** focus on the control parameters to decrease the outbreak from pandemic form to the epidemic by using both strong and weak Allee Effect at time ***,the discretization process shows that the system undergoes Neimark–Sacker Bifurcation under specific ***,we conduct a series of numerical simulations to enhance the theoretical findings.