Dynamics of a Prey-Predator System with Harvesting Effect on Prey

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Chaos Theory and Applications
Volume:4 Issue:3
Dynamics of a Prey-Predator System with Harvesting Effect on Prey

Dynamics of a Prey-Predator System with Harvesting Effect on Prey

Pages : 144-151

View : 16 | Download : 7

Publication Date : 2022-11-30

Article Type : Research Paper

Abstract :This article is about the dynamic behavior of a prey-predator model exposed to the harvesting effect on prey. Firstly, the existence and stability of the fixed points of the model are obtained, and then the presence and direction of Neimark-Sacker bifurcation is examined. By using the bifurcation theory, we show that the system undergoes Neimark-Sacker bifurcation. The hybrid control strategy is applied to control the chaos caused by the Neimark-Sacker bifurcation. In addition, some numerical simulations are given to verify the theoretical results obtained.
Keywords : Prey Predator Model, Fixed point, Stability, Harvesting, Bifurcation, Chaos control

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