Nonlinear stability for reaction-diffusion Lotka-Volterra model with Beddington-DeAngelis functional response

Abstract

The coexistence problem for Lotka-Volterra predator-prey model with Beddingyton-DeAngelis functional response and Robin type boundary conditions, is taken into account. By using the Rionero-Lyapunov functional, conditions guaranteeing the nonlinear L^2-stability and the biological meaningful equilibrium state are furnishe

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