Replicator equations and space
Populations and Evolution
2013-08-28 v2 Analysis of PDEs
Abstract
A reaction--diffusion replicator equation is studied. A novel method to apply the principle of global regulation is used to write down the model with explicit spatial structure. Properties of stationary solutions together with their stability are analyzed analytically, and relationships between stability of the rest points of the non-distributed replicator equation and distributed system are shown. A numerical example is given to show that the spatial variable in this particular model promotes the system's permanence.
Cite
@article{arxiv.1308.5631,
title = {Replicator equations and space},
author = {Artem S. Novozhilov and Vladimir P. Posvyanskii and Alexander S. Bratus},
journal= {arXiv preprint arXiv:1308.5631},
year = {2013}
}
Comments
24 pages