Mean Field Approximation to a Spatial Host-Pathogen Model
Abstract
We study the mean field approximation to a simple spatial host-pathogen model that has been shown to display interesting evolutionary properties. We show that previous derivations of the mean field equations for this model are actually only low-density approximations to the true mean field limit. We derive the correct equations and the corresponding equations including pair-correlations. The process of invasion by a mutant type of pathogen is also discussed. [This article was published as Physical Review E 67, 047102 (2003). Errata for the published version are corrected here and explicitly listed at the end of this document.]
Cite
@article{arxiv.1307.5335,
title = {Mean Field Approximation to a Spatial Host-Pathogen Model},
author = {M. A. M. de Aguiar and E. Rauch and B. C. Stacey and Y. Bar-Yam},
journal= {arXiv preprint arXiv:1307.5335},
year = {2013}
}
Comments
7 pages (1 of errata), 1 figure; original paper by MdA, ER and YB; errata by MdA, BCS and YB. v2: additional misprints corrected and docketed