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Nonlinear Dynamics of a Predator-Prey Model with Beddington-deAngelis Functional Response

Surabhi Pareek & Randhir Singh Baghel

This article uses Beddington and Holling type-II functional response to explore a tritrophic food web model system with prey-predator such as prey, midpredator, and top predator. This model’s positivity, boundedness, local stability, and global stability were investigated. In addition, stability requirements are derived using the Routh-Hurwitz criterion. Both theoretical and numerical discussions of Hop bifurcation are included. Additionally, the Center Manifold Theorem has been used to establish the stability of non-hyperbolic equilibrium sites. Additionally, Matlab ode45 software has been used for numerical analysis, demonstrating the dynamic character of the model system.


DOI:

Article DOI: 10.62823/IJIRA/5.3(I).7790

DOI URL: https://doi.org/10.62823/IJIRA/5.3(I).7790


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