Optimal control of a COVID-19 dynamics based on SEIQR model

被引：0

作者：

Li, Zhong-Ning ^{[1
,2
]}

Tang, Yong-Lu ^{[1
]}

Wang, Zong ^{[3
]}

机构：

[1] Yinchuan Energy Inst, Dept Basic, Yinchuan 750021, Ningxia, Peoples R China

[2] Shinawatra Univ, Fac Educ, Bangkok 10100, Thailand

[3] Qingdao Univ Technol, Sch Sci, Qingdao 266520, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2025年 / 2025卷 / 01期

基金：

中国国家自然科学基金;

关键词：

COVID-19; Optimal control; Asymptomatic and symptomatic infected; Pontryagin's maximum principle;

D O I：

10.1186/s13662-025-03869-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes an SEIQR epidemic model that includes both symptomatic and asymptomatic individuals. To control COVID-19, various interventions are employed, such as social distancing, widespread use of face masks, nucleic acid testing, and sufficient medical resources. Three control functions are used to manage the evolution of the proposed model. The Hamiltonian and Lagrangian are formulated to explore the existence of optimal control. Pontryagin's maximum principle is applied to describe the control variables in the optimal control model. Additionally, numerical simulations are presented to illustrate the theoretical results.

引用

页数：16

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