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Qualitative analysis of an interacting species model with Beddington-DeAngelis functional response

Krishnendu Sarkar, Nijamuddin Ali, Benukar Mondal, Lakshmi Narayan Guin

Abstract



The present research deals with the intra-specific competition between predator populations in a Beddington-DeAngelis interacting species model. Throughout this investigation, our plan is to revise the impact of Qiwu’s growth for prey on a continuous time prey-predator model that is potentially sound in mathematical ecology. To show the important consequences that has happened from the interplay of deterministic ecological phenomena and processes of the proposed model, a comprehensive mathematical analysis being presented. The mathematical features of the Beddington-DeAngelis model with Qiwu’s growth for prey are explored with the help of stability analysis and bifurcation theory. We compared the existing status with that of the appropriate findings of some of the Beddington-DeAngelis interacting species models which are being well known. Suitable Lyapunov functions are in use to establish the global stability of our assumption. Extensive numerical simulations are executed to demonstrate the dynamics of the proposed model. In the conclusion part, the ecological inferences of the analytical findings are enlightened.

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