title: 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.
authors.affiliation: New England Complex Systems Institute, Cambridge, Massachusetts 02138, USA.
authors.forename: M A M
authors.initials: MA
authors.lastname: de Aguiar
authors.forename: E M
authors.initials: EM
authors.lastname: Rauch
authors.forename: Y
authors.initials: Y
authors.lastname: Bar-Yam