FORCED ASYMPTOTICALLY PERIODIC SOLUTIONS OF PREDATOR-PREY SYSTEMS WITH OR WITHOUT HEREDITARY EFFECTS.

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

V. Volterra's two-species predator-prey integro-differential model, which describes the dynamics of predator-prey interactions when continuously accumulating lag effects are considered, is modified by the addition of forcing or control functions. It is shown that for appropriate choices of these control functions the model possesses infinitely many asymptotically periodic solutions for small logistic loads and hereditary (or lag) effects. For certain special cases the existence of periodic solutions is proved.

Original languageEnglish (US)
Pages (from-to)665-674
Number of pages10
JournalSIAM Journal on Applied Mathematics
Volume30
Issue number4
DOIs
StatePublished - Jan 1 1976
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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