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Journal of Environmental Accounting and Management 11(2) (2023) 169--180 | DOI:10.5890/JEAM.2023.06.004

Nijamuddin Ali$^{1}$, Raid Kamel Naji$^{2}$

$^{1}$ Department of Mathematics, Vivekananda Mahavidyalaya, Burdwan-713103, W.B., India

$^{2}$ Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

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Abstract

The cheif aim of the present investigation is to develop Leslie Gower type three species food chain model with prey refuge. The intra-specific competition among the predators is considered in the proposed model. Besides the logistic growth rate for the prey species, Sokol Howell functional response for predation is chosen for our model formulation. The behaviour of the model system thoroughly analyses near the biologically significant equilibria. The linear stability analysis of the equilibria is carried out in order to examine the response of the system. The present model system experiences Hopf bifurcation depending on the choice of suitable model parameters. Extensive numerical simulation reveals the validity of the proposed model.

Acknowledgments

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