Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters

被引：14

作者：

Cordova-Lepe, Fernando ^{[1
,2
,3
]}

Robledo, Gonzalo ^{[1
,2
,3
]}

Pinto, Manuel ^{[1
,2
,3
]}

Gonzalez-Olivares, Eduardo ^{[1
,2
,3
]}

机构：

[1] Univ Chile, Fac Ciencias, Dept Matemat, Casilla 653, Santiago, Chile

[2] Univ Catolica Maule, Fac Ciencias Basicas, Talca, Chile

[3] Pontificia Univ Catolica Valparaiso, Inst Matemat, Valparaiso, Chile

来源：

APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 03期

关键词：

Epidemic models; Pulse infectious events; Almost periodic functions; Impulsive differential equations; Stability; EPIDEMIC; VACCINATION; SPREAD; BIFURCATION;

D O I：

10.1016/j.apm.2011.07.085

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the specific features of the population's behavior. The purpose of this article is to obtain an epidemic threshold which allows us to decide how a sequence of epidemic events could destabilize the previous controlled scenario and how a new endemic equilibrium appears. A threshold is obtained when supposing a set of almost periodic properties in the model. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1323 / 1337

页数：15

共 37 条

[1] Preparing for a smallpox bioterrorist attack: Pulse vaccination as an optimal strategy [J].