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Dynamical behaviors of a partial-dependent predator–prey system. (English) Zbl 1083.37532
Summary: The dynamical behaviors are investigated for a partial-dependent predator-prey system with Holling type-II functional response. The change of the equilibria number and their stability are discussed, and several sufficient conditions are given for checking the existence of two positive steady states and the existence of limit cycles for the predator-prey system. In addition, their biological explanations are presented, and some numerical simulations are given to illustrate the effectiveness of the obtained results.
MSC:
37N25Dynamical systems in biology
92D25Population dynamics (general)
34D05Asymptotic stability of ODE