The Jungle Universe : coupled cosmological models in a Lotka-Volterra framework

Jérôme Perez, André Füzfa, Carletti Timoteo,
Mélot Laurence and Guedezounme Laurent
may, 2014
Publication type:
Paper in peer-reviewed journals
General Relativity and Gravitation
In this paper, we show that the dynamics of homogeneous and isotropic Friedmann-Lema\^itre universes can be studied with population dynamics, in particular with the generalized Lotka-Volterra equation where the competitive species are the barotropic fluids filling the Universe. Without coupling between those fluids, Lotka-Volterra formulation offers a pedagogical way to interpret usual Friedmann-Lema\^itre cosmological dynamics. When the cosmological fluids are coupled however, we establish new dynamical properties of Friedmann-Lema\^itre universes consisting of cycles between its interacting components. This provides a new asymptotic behavior for cosmic expansion in presence of coupled species, beyond the standard de Sitter, Einstein-de Sitter and Milne cosmologies. Finally, we conjecture that chaos can appear for at least four interacting fluids.
title (translation) :
L'univers jungle : modèles cosmologiues couplés dans le contexte de Lotka-Volterra
    author={Jérôme Perez and André Füzfa and Carletti Timoteo and 
           Mélot Laurence and Guedezounme Laurent },
    title={The Jungle Universe : coupled cosmological models in a 
           Lotka-Volterra framework },
    journal={General Relativity and Gravitation },
    year={2014 },