利用经验数据对伊拉克COVID-19动态进行数学分析

IF 3.2 Q3 Mathematics

Results in Control and Optimization Pub Date : 2025-01-27 DOI:10.1016/j.rico.2025.100528

Wasan I. Khalil, Ayad R. Khudair

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引用次数: 0

摘要

本研究通过建立基于SIIhR框架的数学模型，考察了COVID-19在伊拉克的影响和传播。我们利用经验数据评估和量化模型的生物学参数。为了确定模型的可靠性，我们检验了一个正解的存在唯一性。利用验证模型，我们建立了一个最优控制问题，旨在通过疫苗接种最小化每日感染，采用成本函数。我们也提出算法利用庞特里亚金的最小原则，与时滞修改，以确定最佳的疫苗接种策略。

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Mathematical analysis of COVID-19 dynamics in Iraq utilising empirical data

This study examines the impact and transmission of COVID-19 in Iraq via the development of a mathematical model grounded in the

S I I_{h} R

framework. We assess and quantify the biological parameters of the model utilising empirical data. To ascertain the model’s reliability, we examine the existence and uniqueness of a positive solution. Utilising the validated model, we establish an optimal control problem aimed at minimising daily infections via vaccination, employing a cost function. We also present algorithms utilising Pontryagin’s minimum principle, with time-delay modifications, to identify the optimal vaccination strategy.

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来源期刊

Results in Control and Optimization Mathematics-Control and Optimization

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

91 days