TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL  

作　　者：Feiying Yang Runlong Qiao Wantong Li 

机构地区：[1]School of Math.and Statistics,Lanzhou University

出　　处：《Annals of Differential Equations》2014年第2期222-235,共14页微分方程年刊（英文版）

基　　金：Supported by NNSF of China(11031003,11271172)

摘　　要：This paper is concerned with traveling wave solutions to a nonlocal dispersal epide- mic model. Combining the upper and lower solutions and monotone iteration method, we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one. Furthermore, by the approximation method, the existence of traveling wave fronts for the critical speed is established as well. Finally, we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.This paper is concerned with traveling wave solutions to a nonlocal dispersal epide- mic model. Combining the upper and lower solutions and monotone iteration method, we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one. Furthermore, by the approximation method, the existence of traveling wave fronts for the critical speed is established as well. Finally, we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.

关 键 词：traveling waves nonlocal dispersal Laplace transform 

分 类 号：O175[理学—数学]