Dynamics of species in a model with two predators and one prey

Ta Viet Ton, Nguyen Trong Hieu

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

In this paper, we study a predatorprey model which has one prey and two predators with BeddingtonDeAngelis functional responses. Firstly, we establish a set of sufficient conditions for the permanence and extinction of species. Secondly, the periodicity of positive solutions is studied. Thirdly, by using Liapunov functions and the continuation theorem in coincidence degree theory, we show the global asymptotic stability of such solutions. Finally, we give some numerical examples to illustrate the behavior of the model.

Original languageEnglish
Pages (from-to)4868-4881
Number of pages14
JournalNonlinear Analysis, Theory, Methods and Applications
Volume74
Issue number14
DOIs
Publication statusPublished - Oct 1 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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