Traveling wave solutions in a nonlocal dispersal SIR epidemic model with nonlocal time-delay and general nonlinear incidences  

作　　者：Weixin Wu Wenbui Zhang 

机构地区：[1]College of Mathematics and Systerm Science Xinjiang University Urumnqi 830017,P.R.China

出　　处：《International Journal of Biomathematics》2024年第5期101-132,共32页生物数学学报（英文版）

基　　金：supported by a grant from the Young Scientist Funds of Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2022D01C63);Natural Science Foundation of China(No.12271421).

摘　　要：This paper investigates a nonlocal dispersal epidemic model under the multiple nonlocal distributed delays and nonlinear incidence effects.First,the minimal wave speed c*and the basic reproduction number Ro are defined,which determine the existence of traveling wave solutions.Second,with the help of the upper and lower solutions,Schauder's fixed point theorem,and limiting techniques,the traveling waves satisfying some asymptotic boundary conditions are discussed.Specifically,when Ro>1,for every speed c>c^(*) there exists a traveling wave solution satisfying the boundary conditions,and there is no such traveling wave solution for any 0<c<c^(*) when R_(0)>1 or c>0 when R_(0)<1.Finally,we analyze the effects of nonlocal time delay on the minimum wave speed.

关 键 词：Nonlocal distributed delay general nonlinear incidence upper and lower solutions traveling waves 

分 类 号：O17[理学—数学]