Optimal control of deterministic epidemics

被引:181
作者
Behncke, H [1 ]
机构
[1] Univ Osnabruck, FB Math Informat, D-49069 Osnabruck, Germany
关键词
optimal control; deterministic epidemics; infinite time-horizon problems; preventative health control;
D O I
10.1002/oca.678
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Various deterministic optimal control models for SIR-epidemics are investigated in this paper. The epidemics are governed by a rather general interaction, which covers most cases studied in the literature. Vaccination, quarantine, screening or health promotion campaigns as Forms of control are considered. In all cases one finds a maximum effort control on some initial time interval. In addition, uniqueness and monotonicity properties of these models are studied. The results are also extended to the infinite time-horizon situation. Copyright (C) 2000 John Wiley & Sons, Ltd.
引用
收藏
页码:269 / 285
页数:17
相关论文
共 13 条