Entire solutions of diffusive Lotka-Volterra system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Lam, King-Yeung¹  Salako, Rachidi B.¹  Wu, Qiliang² 

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Ohio Univ, Dept Math, Athens, OH 45701 USA

关键词: Competition systems;    Entire solutions;    Spreading speeds;    Traveling waves;   

DOI  :  10.1016/j.jde.2020.07.006

来源: Elsevier

【 摘 要 】

This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system on the real line. We prove the existence of some entire solutions that are asymptotic, as t -> infinity, to a traveling wave consisting of a single species. Depending on system parameters, these entire solutions evolve into two ore more stacked invasion waves as t -> +infinity. Our results cover both the weak and strong competition case. In the weak competition case, the existence of a class of entire solutions that forms a 4-dimensional manifold is proved. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free