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Dynamics of a two predator-one prey system. (English) Zbl 1310.93015
Summary: 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.

MSC:
93A30 Mathematical modelling of systems (MSC2010)
93C15 Control/observation systems governed by ordinary differential equations
49N75 Pursuit and evasion games
91A24 Positional games (pursuit and evasion, etc.)
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