Uniqueness and complete dynamics in heterogeneous competition-diffusion systems

King Yeung Lam, Wei Ming Ni

Research output: Contribution to journalArticle

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Abstract

In this paper we study the interactions between diffusion and heterogeneity of the environment in the classical diffusive Lotka-Volterra competition systems. In the weak competition case, we establish the uniqueness, hence the global asymptotic stability, of coexistence steady states under various circumstances, and thereby we obtain a complete understanding of the change in dynamics when one of the interspecific competition coefficients is small.

Original languageEnglish (US)
Pages (from-to)1695-1712
Number of pages18
JournalSIAM Journal on Applied Mathematics
Volume72
Issue number6
DOIs
StatePublished - Dec 26 2012

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Keywords

  • Lotka-Volterra
  • Mathematical ecology
  • Reaction-diffusion
  • Spatial heterogeneity

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