Infection fronts in contact disease spread

被引：8

作者：

Naether, U. ^{[1
]}

Postnikov, E. B. ^{[2
]}

Sokolov, I. M. ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

[2] Kursk State Univ, Dept Theoret Phys, Kursk 305000, Russia

来源：

EUROPEAN PHYSICAL JOURNAL B | 2008年 / 65卷 / 03期

关键词：

D O I：

10.1140/epjb/e2008-00291-9

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We analyze the epidemic spread via a contact infection process in an immobile population within the Susceptible-Infected-Removed (SIR) model. We present both the results of stochastic simulations assuming different numbers of individuals (degrees of freedom) per cell as well as the solution of the corresponding deterministic equations. For the last ones we show that the appropriate system of nonlinear partial differential equations (PDE) allows for a complete separation of variables and present the approximate analytical expressions for the infection wave in different ranges of parameters. Comparing these results with the direct Monte-Carlo simulations we discuss the domain of applicability of the PDE models and their restrictions.

引用

页码：353 / 359

页数：7

共 19 条

[1] Shift in the velocity of a front due to a cutoff [J].