SPATIAL DYNAMICS IN A PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

Authors:

Dridhiti Roy,Paritosh Bhattacharya,

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00003

Keywords:

Beddington-DeAngelis functional response,Beddington-DeAngelis predator-prey model,prey refuge,stability,reaction-diffusion predator-prey model,

Abstract

The dynamical behavior between predator and prey has been a dominant theme in ecology and mathematical ecology for a long time. In this paper, we look into the dynamics of the Beddington-DeAngelis predator-prey model. We reduce the equations by nondimensionalizing them and combining the spatial factor. Then we incorporate a prey refuge into the system. The model system is then subjected to homogeneous Neumann boundary conditions and the homogeneous equilibria of the full spatial model are being found.

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