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Computational and Applied Mathematics

, Volume 33, Issue 3, pp 767–780 | Cite as

Dynamics of a two predator–one prey system

  • Jawdat AlebraheemEmail author
  • Yahya Abu Hasan
Article

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.

Keywords

Persistence Extinction Limit cycle Complex dynamical behavior 

Mathematics Subject Classification

93A30 

Notes

Acknowledgments

This research is supported by a grant from the School of Mathematical Sciences, Universiti Sains Malaysia.

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2013

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversiti Sains Malaysia (USM)PenangMalaysia

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