Dynamics of a two predator–one prey system

Jawdat Alebraheem, Yahya Abu Hasan

Research output: Contribution to journalJournal articlepeer-review

13 Scopus citations

Abstract

Various ecological models have contributed much to gaining a better understanding of prey–predator interactions. In this paper, an extension of the basic model involving two predators competing on one prey is introduced. The equilibrium points and stability of the points are discussed. The existence of limit cycle and consequent complex dynamical behaviors are shown through a new procedure recently introduced. The persistence and extinction of predators are presented in different forms as steady state, limit cycle, and complex dynamical behaviors.

Original languageEnglish
Pages (from-to)767-780
Number of pages14
JournalComputational and Applied Mathematics
Volume33
Issue number3
DOIs
StatePublished - Oct 2014
Externally publishedYes

Keywords

  • Complex dynamical behavior
  • Extinction
  • Limit cycle
  • Persistence

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