Stability and Bifurcation Analysis for a Predator-Prey Model with Crowley-Martin Functional Response
Year: 2025
Author: Mengran Yuan, Na Wang
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 1–19
Abstract
This paper mainly focuses on the Gauze-type predator-prey model with Crowley-Martin functional response. The local stability of the equilibria is investigated by analyzing the characteristic equation and using the Routh-Hurwitz criterion. Besides, dynamic behavior has been studied by using the center manifold theorem and normal form theory. Finally, several numerical simulations not only verify the theoretical results of Hopf bifurcation but also display more interesting dynamical properties of the model.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.1
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 1–19
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Predator-prey system Crowley-Martin functional response Hopf bifurcation center manifold theorem normal form theory.
Author Details
Mengran Yuan Email
Na Wang Email