Stochastic fluctuations of the transmission rate in the susceptible-infected-susceptible epidemic model

被引：22

作者：

Mendez, Vicenc ^{[1
]}

Campos, Daniel ^{[1
]}

Horsthemke, Werner ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Fis, Grp Fis Estadist, Bellaterra 08193, Barcelona, Spain

[2] So Methodist Univ, Dept Chem, Dallas, TX 75275 USA

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 01期

关键词：

EQUATION; DYNAMICS;

D O I：

10.1103/PhysRevE.86.011919

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 analyze the dynamics of the susceptible-infected-susceptible epidemic model when the transmission rate displays Gaussian white noise fluctuations around its mean value. We obtain analytic expressions for the final size distribution of infectives and the mean infected number of individuals. The model displays a variety of noise-induced transitions as a function of the basic reproductive rate and the noise intensity. We derive a threshold criterion for epidemic invasion in the presence of external noise and determine the mean epidemic duration and the mean epidemic extinction time.

引用

页数：8

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