A Leslie-Gower Model for prey harvesting with predator cooperation and fear responses

Mustak  Euchuf; Ankur Jyoti Kashyap; Anuradha  Devi

doi:10.5269/bspm.78991

Mustak Euchuf Assam Royal Global University, Guwahati
Ankur Jyoti Kashyap Girijananda Chowdhury University, Assam
Anuradha Devi Assam Royal Global University, Guwahati

Resumen

This study proposes and analyzes a prey-predator harvesting model with a Michaelis-Menten type prey harvesting function. It incorporates the effects of fear induced by predation risk and predator hunting cooperation on prey growth. The model's biological feasibility is verified by ensuring the positivity and boundedness of its solutions. Equilibrium points are determined and their stability analyzed, with transcritical and saddle-node bifurcations examined using the Sotomayor approach. Numerical simulations show that increasing the catchability coefficient $q$ or hunting cooperation rate $\alpha$ destabilizes the interior equilibrium, leading to prey-free states. Similarly, a decrease in the conversion coefficient $b$ results in prey extinction. Key parameters affecting the emergence of prey-free states are also identified.

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Citas

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