Existence of positive periodic solutions for a predator-prey model

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Published: Feb 1, 2024
DOI: https://doi.org/10.5556/j.tkjm.55.2024.4821
Keywords:
predator-prey model delay instability positive periodic solution

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Chunhua Feng
Alabama State University

Abstract

In this paper, a class of nonlinear predator-prey models with three discrete delays is considered. By linearizing the system at the positive equilibrium point and analyzing the instability of the linearized system, two sufficient conditions to guarantee the existence of positive periodic solutions of the system are obtained. It is found that under suitable conditions on the parameters, time delay affects the stability of the system. The present method does not need to consider a bifurcating equation which is very complex for such a predator-prey model with three discrete delays. Some numerical simulations are provided to illustrate our theoretical prediction.

 

Article Details

How to Cite
Feng, C. (2024). Existence of positive periodic solutions for a predator-prey model. Tamkang Journal of Mathematics, 55(1), 45–54. https://doi.org/10.5556/j.tkjm.55.2024.4821
Issue
Vol. 55 No. 1 (2024)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biography

Chunhua Feng, Alabama State University

Department of Mathematics and Computer Science

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