On vaccination controls for the SEIR epidemic model

被引：59
|
作者：
De la Sen, M. [1 ]
Ibeas, A. [2 ]
Alonso-Quesada, S. [1 ]
机构：
[1] Univ Basque Country, Fac Sci & Technol, Dept Elect & Elect, Bilbao, Spain
[2] Univ Autonoma Barcelona, Dept Telecommun & Syst Engn, E-08193 Barcelona, Spain
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 06期
关键词：
Epidemic models; Control; SEIR epidemic models; Stability; BEVERTON-HOLT EQUATION; SIR; DYNAMICS; TRANSMISSION; BIFURCATION; POPULATION; STABILITY; DELAYS;
D O I：
10.1016/j.cnsns.2011.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) disease propagation model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e. susceptible plus infected plus infectious) to asymptotically tend to zero. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2637 / 2658
页数：22
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