Mean-field approximation to a spatial host-pathogen model

被引：32

作者：

de Aguiar, MAM ^{[1
]}

Rauch, EM

Bar-Yam, Y

机构：

[1] New England Complex Syst Inst, Cambridge, MA 02138 USA

[2] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083970 Campinas, SP, Brazil

[3] MIT, Artificial Intelligence Lab, Cambridge, MA 02139 USA

[4] Harvard Univ, Dept Mol & Cellular Biol, Cambridge, MA 02138 USA

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.67.047102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：4

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