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Research Article | Open Access

Optimal strategy for a dose-escalation vaccination against COVID-19 in refugee camps

Qinyue Zheng1Xinwei Wang2,3( )Qiuwei Pan4,5Lei Wang6
School of Management, Shandong Key Laboratory of Social Supernetwork Computation and Decision Simulation, Shandong University, Jinan, Shandong 250100, China
Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, China
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China
Department of Gastroenterology and Hepatology, Erasmus MC-University Medical Center, Rotterdam, The Netherlands
Biomedical Research Center, Northwest Minzu University, Lanzhou, Gansu 730030, China
School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, China
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Abstract

An immunogenic and safe vaccine against COVID-19 for use in the healthy population will become available in the near future. In this paper, we aim to determine the optimal vaccine administration strategy in refugee camps considering maximum daily administration and limited total vaccine supply. For this purpose, extended SEAIRD compartmental models are established to describe the epidemic dynamics with both single-dose and double-dose vaccine administration. Taking the vaccination rates in different susceptible compartments as control variables, the optimal vaccine administration problems are then solved under the framework of nonlinear constrained optimal control problems. To the best of our knowledge, this is the first paper that addresses an optimal vaccine administration strategy considering practical constraints on limited medical care resources. Numerical simulations show that both the single-dose and double-dose strategies can successfully control COVID-19. By comparison, the double-dose vaccination strategy can achieve a better reduction in infection and death, while the single-dose vaccination strategy can postpone the infection peak more efficiently. Further studies of the influence of parameters indicate that increasing the number of medical care personnel and total vaccine supply can greatly contribute to the fight against COVID-19. The results of this study are instructive for potential forthcoming vaccine administration. Moreover, the work in this paper provides a general framework for developing epidemic control strategies in the presence of limited medical resources.

CLC number: 49N90, 37N25, 93C10

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AIMS Mathematics
Pages 9288-9310

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Cite this article:
Zheng Q, Wang X, Pan Q, et al. Optimal strategy for a dose-escalation vaccination against COVID-19 in refugee camps. AIMS Mathematics, 2022, 7(5): 9288-9310. https://doi.org/10.3934/math.2022515

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Received: 03 November 2021
Revised: 29 December 2021
Accepted: 17 January 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)