A Note on Hopf Bifurcation and Steady State Analysis for a Predator-Prey Model

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Turkish Journal of Science
Volume:5 Issue:3
A Note on Hopf Bifurcation and Steady State Analysis for a Predator-Prey Model

A Note on Hopf Bifurcation and Steady State Analysis for a Predator-Prey Model

Authors : İrem ÇAY

Pages : 220-225

View : 40 | Download : 7

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :This paper is concerned with the Hopf bifurcation and steady state analysis of a predator-prey model. Firstly, by analyzing the characteristic equation, the local stability of the nonnegative equilibriums is discussed. Then the Hopf bifurcation around the positive equilibrium is obtained, and the direction and the stability of the Hopf bifurcation are investigated. Finally, some numerical simulations are given to support the theoretical results.
Keywords : Predator prey model, Steady state analysis, Existence of Hopf bifurcation, Supercritical bifurcation

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