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

TitleDynamics of species in a model with two predators and one prey
Publication TypeJournal Article
Year of Publication2011
AuthorsTon, TViet, Hieu, NTrong
JournalNonlinear Analysis: Theory, Methods & Applications
Volume74
Pagination4868 - 4881
ISSN0362-546X
KeywordsLiapunov function
Abstract

In this paper, we study a predator–prey model which has one prey and two predators with Beddington–DeAngelis 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.

URLhttp://www.sciencedirect.com/science/article/pii/S0362546X11002720
DOI10.1016/j.na.2011.04.061