Complex dynamics of a predator-prey model with harvesting effects on both predator and prey

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Basic and Applied Sciences, Air University Multan Campus, Multan, Pakistan

2 Department of Mathematics, Faculty of Sciences, National College of Business Administration and Economics Rahim Yar Khan Campus, Rahim Yar Khan, Pakistan

Abstract

A discrete predator-prey model with harvesting effects on both predator and prey is examined to reveal its chaotic dynamics. The model's existence and local stability analysis are investigated. It is demonstrated that the model experiences period-doubling bifurcation and Neimark-Sacker bifurcation by using bifurcation theory. Moreover, numerical examples are used to demonstrate the consistency of analytical conclusions as well as the model's complexity owing to harvesting effects. It is shown that changing the harvesting parameters affects not only the number of fixed points in the model, but also the occurrence of different bifurcations.

Keywords

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Volume 14, Issue 10October 2023Pages 95-106
• Receive Date: 14 January 2022
• Revise Date: 06 June 2023
• Accept Date: 17 August 2023