Persistence, stability and level crossings in an integrodifferential system

X. Z. He*, K. Gopalsamy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and ‘level-crossings’ of solutions about the periodic solution.

Original languageEnglish
Pages (from-to)395-426
Number of pages32
JournalJournal of Mathematical Biology
Volume32
Issue number5
DOIs
Publication statusPublished - May 1994
Externally publishedYes

Keywords

  • Lyapunov functional
  • Uniform persistence
  • level-crossing
  • stability

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