Mean-field approximation to a spatial host-pathogen model.
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.
de Aguiar
M A M
MA
New England Complex Systems Institute, Cambridge, Massachusetts 02138, USA.
Rauch
E M
EM
Bar-Yam
Y
Y