Nonequilibrium critical behavior of a species coexistence model

TL;DR

This paper investigates a biologically inspired model of two competing species, revealing a coexistence phase and critical behavior at phase transitions, characterized by directed percolation universality.

Contribution

It introduces a mean-field and simulation analysis of a species coexistence model, identifying critical points and multicritical behavior in higher dimensions.

Findings

Coexistence region exists in the phase diagram for d>1

Phase transitions belong to the directed percolation universality class

Multicritical point exhibits non-trivial critical behavior

Abstract

A biologically motivated model for spatio-temporal coexistence of two competing species is studied by mean-field theory and numerical simulations. In d>1 dimensions the phase diagram displays an extended region where both species coexist, bounded by two second-order phase transition lines belonging to the directed percolation universality class. The two transition lines meet in a multicritical point, where a non-trivial critical behavior is observed.