Bezier Curve Parameterization Methods for Solving Optimal Control Problems of SIR Model

被引:0
作者
Kmet, Tibor [1 ]
Kmetova, Maria [1 ]
机构
[1] J Selye Univ, Dept Math & Informat, Bratislavska Cesta 3322, Komarno 94501, Slovakia
来源
THEORY AND PRACTICE OF NATURAL COMPUTING, TPNC 2017 | 2017年 / 10687卷
关键词
Bernstein-Bezier parametrisation; Invasive weed optimization; Adaptive critic design; Echo state networks; SIR model; Optimal control problem; EPIDEMIC MODEL; CONSTRAINTS; STATE;
D O I
10.1007/978-3-319-71069-3_8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper the optimal control strategies with two control variable of an SIR (susceptible-infected-recovered) epidemic model are introduced. The effect of dispersion of the population in a bounded habitat has been taken into consideration. The aim of this work is to minimize the infective and susceptible individuals and to maximize the total number of recovered individuals by using the possible control variables. To solve optimal control problem we use direct and indirect methods, Bernstein-Bezier parametrisation of control variable and invasive weed optimization of objective function, and adaptive critic design with echo state networks, respectively. Our results indicate that these two methods are able to solve optimal control problems.
引用
收藏
页码:100 / 110
页数:11
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