Existence and uniqueness of traveling waves for a reaction-diffusion model with general response functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Wang, Zhiguo¹  Nie, Hua¹  Wu, Jianhua¹ 

[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China

关键词: Traveling wave;    Reaction-diffusion equation;    Schauder fixed point theorem;    Minimum wave speed;   

DOI  :  10.1016/j.jmaa.2017.01.017

来源: Elsevier

【 摘 要 】

The traveling wave solutions of a reaction diffusion model with general functional responses are considered in this paper. A necessary and sufficient condition is established for the existence of traveling wave solutions. Moreover, the minimum speed, asymptotic behavior and uniqueness of traveling wave solutions are also obtained in relation to the interaction parameters. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free