Asymptotic behavior of an SI epidemic model with pulse removal

被引：13

作者：

Fuhrman, KM ^{[1
]}

Lauko, IG ^{[1
]}

Pinter, GA ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 3-4期

关键词：

epidemiology; asymptotic behavior; impulsive differential equations;

D O I：

10.1016/j.mcm.2003.10.047

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we discuss an SI epidemic model with pulse removal from the infective class at fixed time intervals with both exponential and logistic type underlying population dynamics. This model has significance when dealing with animal diseases with no recovery, or when we consider isolation in human diseases. We provide a rigorous analysis of the asymptotic behavior of the percentage of infected individuals, the total number of infected individuals, and the total population in our model. We show that periodic removal/isolation is a feasible strategy to control the spread of the disease. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：371 / 386

页数：16