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Stochastic and Diffusion Analysis of a Modified Leslie-Gower Model with Holling Type Functional Responses

T. Vidyanath, K. Lakshmi Narayan, Shahnaz Bathul

Abstract



The present work is related to the modified Leslie-Gower prey-predator model with diffusion effect. Conditions for the occurrence of stability at the interior equilibrium point are addressed using appropriate techniques for the reduced linearized system. Comparison between the deterministic and stochastic model are carried out. The effects of diffusion on the proposed system are analyzed. Simulations are carried out using suitable parameter values to strengthen the validity of the system.

Keywords


Stability, Weiner process, Diffusion analysis, Matlab simulations.

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