Authors:Dridhiti Roy,Paritosh Bhattacharya,
Keywords:Beddington-DeAngelis functional response,Beddington-DeAngelis predator-prey model,prey refuge,stability,reaction-diffusion predator-prey model,
AbstractThe 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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