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arXiv · 1307.5335

Mean Field Approximation to a Spatial Host-Pathogen Model

M. A. M. de Aguiar·E. Rauch·B. C. Stacey·Y. Bar-Yam
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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.]

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M. A. M. de Aguiar, E. Rauch, B. C. Stacey, Y. Bar-Yam. 2013-08-27. Mean Field Approximation to a Spatial Host-Pathogen Model. https://doi.org/10.1103/physreve.67.047102

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