full
search.png

Search

close.png

Cancel

Volume 7, Issue 1
Stability and Bifurcation Analysis for a Predator-Prey Model with Crowley-Martin Functional Response

Mengran Yuan & Na Wang

DOI: 10.12150/jnma.2025.1

J. Nonl. Mod. Anal., 7 (2025), pp. 1-19.

Published online: 2025-02

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 175 1749

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Predator-prey system, Crowley-Martin functional response, Hopf bifurcation, center manifold theorem, normal form theory.

  • AMS Subject Headings

34C23, 37C75, 37N25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-7-1, author = {Yuan , Mengran and Wang , Na}, title = {Stability and Bifurcation Analysis for a Predator-Prey Model with Crowley-Martin Functional Response}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1}, url = {http://global-sci.org/intro/article_detail/jnma/23830.html} }
TY - JOUR T1 - Stability and Bifurcation Analysis for a Predator-Prey Model with Crowley-Martin Functional Response AU - Yuan , Mengran AU - Wang , Na JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 1 EP - 19 PY - 2025 DA - 2025/02 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1 UR - https://global-sci.org/intro/article_detail/jnma/23830.html KW - Predator-prey system, Crowley-Martin functional response, Hopf bifurcation, center manifold theorem, normal form theory. AB -

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.

Yuan , Mengran and Wang , Na. (2025). Stability and Bifurcation Analysis for a Predator-Prey Model with Crowley-Martin Functional Response. Journal of Nonlinear Modeling and Analysis. 7 (1). 1-19. doi:10.12150/jnma.2025.1
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard