Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel  

作　　者：Qura Tul Ain Aziz Khan Thabet Abdeljawad J.F.Gomez-Aguilar Saleem Riaz 

机构地区：[1]Department of Mathematics Guizhou University,Guiyang,Guizhou 550025,P.R.China [2]Department of Mathematics and Sciences Prince Sultan University P.O.Bor 66833,11586 Riyadh,Saudi Arabia [3]Department of Medical Research China Medical University,Taichung 40402,Taiwan [4]CONACyT-Tecnologico Nacional de Mécico/CENIDET Interior Internado Palmira S/N,Col.Palmira C.P.62490,Cuernavaca,Morelos,Mécico IConsejo Academico Universidad Virtual CNCI,Monterrey,Mécico [5]School of Automation Northwestern Polytechnical University 170072 Xian,P.R.China

出　　处：《International Journal of Biomathematics》2024年第3期153-183,共31页生物数学学报（英文版）

摘　　要：The primary varicella-zoster virus(VzV)infection that causes chickenpox(also known as varicella),spreads quickly among people and,in severe circumstances,can cause to fever and encephalitis.In this paper,the Mittag-Leffler fractional operator is used to examine the mathematical representation of the vzV.Five fractional-order differential equations are created in terms of the disease's dynamical analysis such as S:Susceptible,V:Vaccinated,E:Exposed,I:Infectious and R:Recovered.We derive the existence criterion,positive solution,Hyers-Ulam stability,and boundedness of results in order to examine the suggested fractional-order model's wellposedness.Finally,some numerical examples for the VzV model of various fractional orders are shown with the aid of the generalized Adams-Bashforth-Moulton approach to show the viability of the obtained results.

关 键 词：Varicella-zoster virus model Hyers-Ulam stability ABC fractional operator Schauder fix point theory numerical analysis 

分 类 号：O17[理学—数学]