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Bifurcation analysis of predator-prey model with Cosner type functional response and combined harvesting
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  • Liping Yu,
  • Biruk Tafesse Mulugeta,
  • Jingli Ren,
  • Qigang Yuan
Liping Yu
Henan University of Technology College of Information Science and Engineering

Corresponding Author:[email protected]

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Biruk Tafesse Mulugeta
Zhengzhou University
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Jingli Ren
Zhengzhou University
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Qigang Yuan
North China University of Water Resources and Electric Power
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In this paper, we consider a predator-prey model with Cosner type functional response and combined harvesting. First, we explore the existence and stability of the equilibria. Then using the center manifold theorem and normal form theory, we investigate codimension one and codimension two bifurcations of the model. The analysis shows that the system has a variety of bifurcation phenomena including transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, Bogdanov-Takens bifurcation and homoclinic bifurcation. Our findings indicate that the dynamics with harvesting are significantly richer than the system without harvesting. Finally, numerical simulations are provided to support the analytical results.
20 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
20 Mar 2023Submission Checks Completed
20 Mar 2023Assigned to Editor
24 Mar 2023Review(s) Completed, Editorial Evaluation Pending
20 Apr 2023Reviewer(s) Assigned
24 Jul 2023Editorial Decision: Revise Major
29 Aug 20231st Revision Received
30 Aug 2023Submission Checks Completed
30 Aug 2023Assigned to Editor
30 Aug 2023Review(s) Completed, Editorial Evaluation Pending
15 Sep 2023Reviewer(s) Assigned