Dynamical Analysis of a Predator-Prey Model with Predator Intraspecific Competition, Prey Group Defense, Wind Flow, and Harvesting Effort

Phuong Thuy Nguyen1, , Duc An Van1, Thi Thoa Trieu1
1 Hanoi University of Science and Technology, Ha Noi, Vietnam

Main Article Content

Abstract

This study introduces a novel predator-prey model that integrates the effects of predator intraspecific competition, prey group defense mechanisms, wind flow, and harvesting effort. The model employs a modified Holling type II functional response to capture the complexity of prey-predator interactions under environmental and anthropogenic influences. We establish the model’s positivity and boundedness and derive conditions for the local and global stability of equilibrium points. Hopf bifurcation analysis reveals that both wind intensity and harvesting effort significantly affect system stability. Numerical simulations demonstrate that while mild wind flow can stabilize the system with minimal group defense, increased wind intensity enhances overall system stability. Furthermore, harvesting pressure and intraspecific competition contribute to stability regardless of wind strength. The analysis also shows that intraspecific competition and harvesting effort are positively correlated with prey density and negatively correlated with predator density at equilibrium.

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References

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