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Two-dimensional attracting torus in an intraguild predation model with general functional responses and logistic growth rate for the prey
Gamaliel Ble,Iván Loreto-Hernández
Keywords:Zero--Hopf Bifurcation; Attracting torus; Intraguild Predation Model
Abstract:
      The population coexistence in an intraguild food web model is analyzed. Three populations, the prey, the predator and super predator, are considered, where these last two populations are specialists. The sufficient conditions to guarantee a coexistence point, where the intraguild predation model exhibits a zero-Hopf bifurcation, are given. For a wide family of functional responses, these conditions are valid. The numerical simulations varying the functional responses are given. Different limit sets such as, limit cycles or invariant torus are shown.