Predators-prey model with competition: Emergence of territoriality
I will start by introducing the classical Lotka-Volterra model, a dynamical system describing predator – prey interaction. This simple system is one of the cornerstones of mathematical ecology. Including spatial dependence and animal movement, one is led to a system of reaction-diffusion equations.
In this context, we have proposed with Alessandro Zilio a new model for predators like wolves that can divide into several hostile packs. This model, an extension of the original Lotka-Volterra system, rests on basic principles of predator – prey interaction and competition. Our purpose is to show with a basic model how territories and packs are formed among certain predators.