Near-optimal control of a stochastic partial differential equation SEIR epidemic model under economic constraints

被引：3
作者：
Wang, Zong [1 ]
Zhang, Qimin [1 ]
机构：
[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2023年 / 69卷
关键词：
SEIR epidemic model; Near optimal; Stochastic control; Reaction diffusion; Economic constraints; STRATEGIES; DYNAMICS; BEHAVIOR; DISEASES;
D O I：
10.1016/j.ejcon.2022.100752
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The outbreak of a disease has negative effects on the economy, and economic activities affect the spread of a disease. In this paper, based on the relationship between economic activities and infectious dis-eases, we establish a SEIRG (susceptible-exposure-infective-recovered-economic) model. Applying the near-maximum condition of a Hamiltonian function, we provide sufficient and necessary conditions for the near optimal control problem of the SEIRG system. In addition, we obtain the optimal control func-tion of the research system. Finally, we develop an algorithm for a near optimal control problem and use numerical simulations to illustrate the effects of vaccination and treatment.(c) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
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页数：16
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