Entire solutions originating from traveling fronts for a two-species competition-diffusion system

Jong Shenq Guo, Chang Hong Wu*

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

This paper deals with entire solutions (classical solutions defined globally in time and space) of a two-species strong competition model. For this system, it is well known that there exist two-front entire solutions which behave as two traveling fronts moving towards each other from both sides of the x-axis. In this paper, in terms of traveling fronts connecting two different constant states from the coexistence state and the two semi-trivial states, we build entire solutions originating from three and four fronts stuck between appropriate super and subsolutions. Moreover, the non-existence of entire solutions originating from more than seven traveling fronts is proved.

Original languageEnglish
Pages (from-to)3234-3268
Number of pages35
JournalNonlinearity
Volume32
Issue number9
DOIs
StatePublished - 26 Jul 2019

Keywords

  • competition model
  • entire solution
  • super-sub-solutions
  • traveling front

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