Population dynamics with or without evolution: a physicist's approach

Authored by M Droz, A Pekalski

Date Published: 2004

DOI: 10.1016/j.physa.2004.01.013

Sponsors: No sponsors listed

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

Modeling the dynamics of interacting species (or populations) is a long standing problem in sciences which, in the recent years, has attracted a lot of physicists working in statistical physics. The similarities and differences between models of dynamics of population and usual statistical mechanics problems on a lattice are discussed. First the question of the appropriate level of description (ordinary differential equations, reaction-diffusion equations, patches models or individual-based models for extended systems) is considered. Second, the role of the internal degrees of freedom associated to the phenotype of the individuals on the dynamics is discussed. (C) 2004 Elsevier B.V. All rights reserved.
Tags
Birth-death processes