The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response

Authors

Asmaa Aziz Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0007-7885-1840
Azhar Abbas Majeed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0007-7885-1840

DOI:

https://doi.org/10.30526/38.2.3553

Keywords:

Prey-predator, Sotomayor's theorem, Local bifurcation, Global bifurcation

Abstract

In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established. It is observed that there is a trans critical and pitchfork bifurcations near each of , where as a saddle-node bifurcation near the positive equilibrium point have been occurred. Finally, numerical simulation was used to illustrate the occurrence of the bifurcation of the proposed model.

Author Biographies

Asmaa Aziz, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

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Azhar Abbas Majeed, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

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References

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Published

20-Apr-2025

Issue

Vol. 38 No. 2 (2025)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

[1]

Aziz, A. and Majeed, A.A. 2025. The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response. Ibn AL-Haitham Journal For Pure and Applied Sciences. 38, 2 (Apr. 2025), 316–329. DOI:https://doi.org/10.30526/38.2.3553.