Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 5, Issue 3


Published
on

December 3, 2020


Pages

220-225


DOI

Article

A note on Hopf bifurcation and steady state analysis for a predator-prey model

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Authors

Irem Cay Affiliation:
Department of Mathematics, Faculty of Arts and Sciences, Kocaeli University, Kocaeli, Turkey.


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.


Citation

Cay, I. (2020). A note on hopf bifurcation and steady state analysis for a predator-prey model. Turkish Journal of Science, 5(3), 220–225. https://doi.org/10.66833/TJOS-2020-0024

Published by: Engineering Journals

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