On 3 x 3 Lotka-Volterra competition systems with cross-diffusion

Yuan Lou, Salomé Martínez, Wei Ming Ni

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

In this paper we investigate the role of cross-diffusion in the 3 x 3 Lotka-Volterra competition model. Of particular interest is the existence of non-constant steady states created by cross-diffusion in 3 X 3 systems. A comparison with 2 x 2 systems is also included.

Original languageEnglish (US)
Pages (from-to)175-190
Number of pages16
JournalDiscrete and Continuous Dynamical Systems
Volume6
Issue number1
StatePublished - Dec 1 2000

Keywords

  • A priori estimates
  • Competition-diffusion systems
  • Cross-diffusion
  • Degree theory

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