Bifurcation and stability of a dynamical system with threshold prey harvesting
by Imane Agmour; Meriem Bentounsi; Naceur Achtaich; Youssef El Foutayeni
International Journal of Computing Science and Mathematics (IJCSM), Vol. 14, No. 1, 2021

Abstract: In this study, a predator-prey interaction model with Holling type II functional response is studied. As the continuous threshold prey harvesting is introduced, the proposed model displays a dynamics in the predator-prey plane. The main purpose is to show how the stability properties of some coexistence equilibria could be directly affected by harvesting. As the results, we find out that the proposed system exhibits saddle node bifurcation, subcritical and supercritical Hopf bifurcations under some conditions. The local bifurcation solutions for different parameters of the model are obtained via bifurcation theory.

Online publication date: Tue, 12-Oct-2021

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