Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches

Yang Kuang, Hal Smith, R. H. Martin

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A Lotka-Volterra-like model of m interacting species which can disperse among n discrete habitats and where species interaction terms involve general unbounded delays is shown to possess a globally stable equilibrium when the undelayed intraspecific competition term dominates interspecific interactions as well as the delayed intraspecific competition effect and when the n habitats are nearly identical.

Original languageEnglish (US)
Pages (from-to)339-360
Number of pages22
JournalJournal of Dynamics and Differential Equations
Volume3
Issue number3
DOIs
StatePublished - Jul 1991

Fingerprint

Infinite Delay
Lotka-Volterra System
Global Stability
Patch
Unbounded Delay
Lotka-Volterra
Term
Interaction
Model

Keywords

  • AMS (MOS) subject classifications: Primary 34K30, Secondary 35R10, 34K15, 92A15
  • diffusive-delay Lotka-Volterra system
  • discrete patches
  • Global Stability
  • infinite delay
  • Razumikhin function

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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