Coexistence in a four-species food web model with general functional responses

Gamaliel Blé, Claudia Isabel Guzmán-Arellano and Iván Loreto-Hernández

Chaos, Solitons & Fractals, 2021, vol. 153, issue P1

Abstract: The dynamics of an intraguild predation system is analyzed. Two shared resources, a middle predator and a top predator are considered in the model. Parameter conditions for coexistence in the intraguild system are given. The coexistence of species, through the existence of an equilibrium point or a stable limit cycle or an invariant torus is shown. Conditions to have Andronov-Hopf and Hopf-Hopf bifurcation are given. Then, limit sets and complex dynamical behaviors, can exhibit in the system. For a wide family of functional responses, these results are valid. Numerical simulations with varied functional responses are given and different limit sets are shown.

Keywords: Andronov-Hopf bifurcation; Hopf-Hopf bifurcation; Limit cycle; Invariant torus; Intraguild predation model (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921009097

DOI: 10.1016/j.chaos.2021.111555

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