A Predator-Prey Model from Collective Dynamics and Self-Propelled Particles Approach

Abstract

The definition and description of the dynamics of predator-prey system consists in one of the fundamental problems of the population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certain relevant criteria such as the spatial and temporal distribution of the studied species. We introduced these criteria by coupling two models designed initially for collective dynamics. The first is for predators mobility, a Vicsek type model and the second is a Brownian Particle (BP) model for prey. We observed, as naturally in the classical models, periodic cycles of the density of predators and prey. In this case, the period of oscillations depends relatively on the collective dynamics parameters.