Complex Systems

Statistical Scaling Laws for Competing Biological Species

Vinícius Barros da Silva
Physics Department
Universidade Estadual Paulista “Júlio de Mesquita Filho”
Rio Claro, São Paulo, 13506-900, Brazil

Abstract

Universality classes are defined for an idealized nonlinear system that governs the competition between biological species. The decay to asymptotic steady state is examined for supercritical Hopf bifurcation by considering a phenomenological approach supported by numerical simulations and confirmed by an analytical description. The formalism is general and it is expected to be universal for systems exhibiting Hopf bifurcations.

Keywords: scaling properties; critical exponents; prey-predator; Hopf bifurcation