Traveling wave solutions of a nonlocal dispersal SIRS model with spatio-temporal delay

作     者：Zhaohai Ma Rong Yuan 

作者机构：School of Mathematical Sciences Beijing Normal University Beijing 100875 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2017年第10卷第5期

页      面：239-261页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Acknowledgments We are very grateful to the invaluable suggestions made by anonymous referees. This work is supported by the National Natural Science Foundation of China  RFDP and the Fundamental Research Funds for the Central University 

主　　题：SIRS epidemic model traveling wave solutions nonlocal dispersal nonlocal delay Laplace transform. 

摘      要：This paper is mainly concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal SIRS model with nonlocal delayed transmissions. We find that the existence and nonexistence of traveling wave solutions are determined by the critical wave speed c^＊. More specifically, we establish the existence of traveling wave solutions for every wave speed c〉c^＊ and R0 〉 1 by means of upper-lower solutions and Schauder＇s fixed point theorem. Nonexistence of traveling wave solutions is obtained by Laplace transform for any wave speed c ∈ （0, c^＊） and R0 〉 1.