Dynamics of a two predator–one prey system
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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.
KeywordsPersistence Extinction Limit cycle Complex dynamical behavior
Mathematics Subject Classification93A30
This research is supported by a grant from the School of Mathematical Sciences, Universiti Sains Malaysia.
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