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
Authors
Irem Cay
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.