doi:doi:10.1088/1742-6596/2322/1/012061

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Publication Date

Mon Aug 01 2022

Journal Name

Journal Of Physics: Conference Series

Volume

2322

DOI

doi:10.1088/1742-6596/2322/1/012061

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The local bifurcation analysis of two preys stage-structured predator model with anti-predator behavior

Zina Kh.

Azhar A.

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Abstract<p>This paper deals with two preys and stage-structured predator model with anti-predator behavior. Sufficient conditions that ensure the appearance of local and Hopf bifurcation of the system have been achieved, and it’s observed that near the free predator, the free second prey and the free first prey equilibrium points there are transcritical or pitchfork and no saddle node. While near the coexistence equilibrium point there is transcritical, pitchfork and saddle node bifurcation. For the Hopf bifurcation near the coexistence equilibrium point have been studied. Further, numerical analysis has been used to validate the main results.</p>