Journal of Dynamics and Differential Equations

, Volume 3, Issue 3, pp 339–360

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

  • Y. Kuang
  • H. L. Smith
  • R. H. Martin

DOI: 10.1007/BF01049736

Cite this article as:
Kuang, Y., Smith, H.L. & Martin, R.H. J Dyn Diff Equat (1991) 3: 339. doi:10.1007/BF01049736


A Lotka-Volterra-like model ofm interacting species which can disperse amongn 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 then habitats are nearly identical.

Key words

Global Stabilitydiffusive-delay Lotka-Volterra systemdiscrete patchesRazumikhin functioninfinite delay

AMS (MOS) subject classifications

Primary 34K30Secondary 35R10, 34K15, 92A15

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Y. Kuang
    • 1
  • H. L. Smith
    • 1
  • R. H. Martin
    • 2
  1. 1.Department of MathematicsArizona State UniversityTempe
  2. 2.Department of MathematicsNorth Carolina State UniversityRaleigh