Entire solutions of diffusive Lotka-Volterra system

[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.

[发布日期] 2020-12-05

[关键词] Competition systems;Entire solutions;Spreading speeds;Traveling waves