Impact of awareness in self–monitoring of COVID-19: An optimal control approach

IF 3.2 Q3 Mathematics

Results in Control and Optimization Pub Date : 2025-01-14 DOI:10.1016/j.rico.2024.100513

Piu Samui , Jayanta Mondal , Amar Nath Chatterjee , Fahad Al Basir

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Abstract

COVID-19 has been a significant global health concern since the last quarter of 2019, prompting ongoing research to understand the transmission patterns and develop global intervention methods. This article presents a Scompartmental model that demonstrates the effectiveness of self-monitoring among individuals as a non-pharmaceutical method in reducing infection progression. The existence of equilibria and their stability have been studied on the basic of the basic reproduction number (

R_{0}

). We observed forward bifurcation at

R_{0} = 1

. We have applied optimal control theory and formulated a three control parameters optimal control problem (OCP) to study non-therapeutic measures like increasing awareness of COVID-19 among susceptible and symptomatic individuals and therapeutic measures like providing improved treatment to hospitalized individuals. The cost-effectiveness of these strategies is also analyzed, suggesting the coexistence of possible treatment routes in controlling the virus.

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意识对COVID-19自我监测的影响：一种最优控制方法

自2019年最后一个季度以来，COVID-19一直是一个重大的全球卫生问题，促使人们正在进行研究，以了解传播模式并制定全球干预方法。这篇文章提出了一个区隔模型，证明了个人之间的自我监测的有效性，作为一种非药物方法，在减少感染进展。在基本繁殖数（R0）的基础上，研究了平衡态的存在性及其稳定性。我们在R0=1处观察到正向分叉。我们运用最优控制理论，制定了三控制参数最优控制问题（OCP），研究了提高易感和症状个体对COVID-19的认识等非治疗性措施，以及改善住院个体治疗等治疗性措施。还分析了这些策略的成本效益，表明在控制病毒方面可能存在多种治疗途径。

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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