Article
A note on Hopf bifurcation and steady state analysis for a predator-prey model
Authors
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
I. Cay, “A note on hopf bifurcation and steady state analysis for a predator-prey model,” Turkish Journal of Science, vol. 5, no. 3, pp. 220–225, 2020, doi: 10.66833/TJOS-2020-0024.
Cay I. A note on hopf bifurcation and steady state analysis for a predator-prey model. Turkish Journal of Science. 2020;5(3):220–225. doi:10.66833/TJOS-2020-0024.
Cay, I. (2020), ‘A note on hopf bifurcation and steady state analysis for a predator-prey model’, Turkish Journal of Science, 5(3), pp. 220–225. Available at: https://doi.org/10.66833/TJOS-2020-0024.
Cay, Irem. “A Note on Hopf Bifurcation and Steady State Analysis for a Predator-prey Model.” Turkish Journal of Science, vol. 5, no. 3, 2020, pp. 220–225. https://doi.org/10.66833/TJOS-2020-0024.
Cay, Irem. “A Note on Hopf Bifurcation and Steady State Analysis for a Predator-prey Model.” Turkish Journal of Science 5, no. 3 (2020): 220–225. https://doi.org/10.66833/TJOS-2020-0024.
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Published by: Engineering Journals


