A spatiotemporal spread of COVID-19 pandemic with vaccination optimal control strategy: A case study in Morocco

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.01.171

A. Kouidere, M. Elhia, O. Balatif

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引用次数: 2

Abstract

On March 2, 2020, the Moroccan Ministry of Health announced the first case of COVID-19 in the city of Casablanca for a Moroccan tourist who came from Italy. The SARS-COV-2 virus has spread throughout the Kingdom of Morocco. In this paper, we study the spatiotemporal transmission of the COVID-19 virus in the Kingdom of Morocco. By supporting a SIWIHR partial differential equation for the spread of the COVID-19 pandemic in Morocco as a case study. Our main goal is to characterize the optimum order of controlling the spread of the COVID-19 pandemic by adopting a vaccination strategy, the aim of which is to reduce the number of susceptible and infected individuals without vaccination and to maximize the recovered individuals by reducing the cost of vaccination using one of the vaccines approved by the World Health Organization. To do this, we proved the existence of a pair of control. It provides a description of the optimal controls in terms of state and auxiliary functions. Finally, we provided numerical simulations of data related to the transmission of the COVID-19 pandemic. Numerical results are presented to illustrate the effectiveness of the adopted approach.

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基于疫苗接种最优控制策略的COVID-19大流行时空传播:以摩洛哥为例

2020年3月2日，摩洛哥卫生部宣布，一名来自意大利的摩洛哥游客在卡萨布兰卡市发现了首例COVID-19病例。SARS-COV-2病毒已在整个摩洛哥王国蔓延。本文研究了COVID-19病毒在摩洛哥王国的时空传播。通过支持SIWIHR关于COVID-19大流行在摩洛哥传播的偏微分方程作为案例研究。我们的主要目标是通过采用疫苗接种策略来描述控制COVID-19大流行传播的最佳顺序，其目的是减少未接种疫苗的易感和感染个体数量，并通过降低使用世界卫生组织批准的一种疫苗的疫苗接种成本来最大化恢复个体。为此，我们证明了一对控制的存在性。从状态和辅助函数的角度对最优控制进行了描述。最后，我们对COVID-19大流行传播相关数据进行了数值模拟。数值结果说明了所采用方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量