Recent developments on wave propagation in 2-species competition systems

Jong Shenq Guo*, Chang-Hong Wu

*Corresponding author for this work

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

In this paper, we shall survey some recent results on the wave propagation in 2-species competition systems with Lotka-Volterra type non-linearity. This includes systems with continuous and discrete diüsion (or mi-gration). We are interested in both monostable case and bistable with strong competition case. Questions on minimal speed for the monostable case, unique-ness of wave speed and propagation failure in the bistable case, monotonicity and uniqueness of wave profile for both cases are addressed. Finally, we give some open problems on wave propagation in 2-species competition systems.

Original languageEnglish
Pages (from-to)2713-2724
Number of pages12
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume17
Issue number8
DOIs
StatePublished - 1 Nov 2012

Keywords

  • Bistable
  • Lattice dynamical system
  • Monostable
  • Traveling wavefront
  • Wave speed

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