具有最优控制策略的COVID - 19数学模型的非线性分析和动力学

Sumathi Muthukumar, K. Myilsamy, Abilasha Balakumar, Veeramani Chinnadurai
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引用次数: 0

摘要

医疗保健系统和照明(意识)活动的有效性控制COVID - 19。为了保护公众健康,COVID - 19大流行的传播需要保持社交距离、戴口罩、个人清洁和预防措施。由于宣传规划不足,COVID - 19在印度迅速增加。本研究的主要目标是调查当人们意识到这种疾病时,COVID - 19病毒在印度的传播行为。我们找到了疾病传播率和未识别的无症状和有症状人群检出率的最佳值。设计了一个资源分配有限的最优控制问题,以提高恢复个体。稳定性分析强调疾病意识在预防疾病传播中的相关性。在最优控制分析中,利用控制参数探讨有控制和无控制时感染个体的增减情况。利用哈特夫分数阶导数对模型进行了模拟,以研究流行病中的记忆效应。为了使模型适应印度报告的COVID - 19病例总数,我们收集了2021年3月20日至2021年9月30日的数据。根据模拟结果,如果宣传活动开展不当,大流行病将传播得更快。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear analysis and dynamics of COVID‐19 mathematical model with optimal control strategies
Efficacy of the healthcare system and illumination (awareness) activities control COVID‐19. To defend public health, the spreading pandemic of COVID‐19 disease necessitates social distancing, wearing masks, personal cleanliness, and precautions. Due to inadequate awareness programs, COVID‐19 rapidly increases in India. The primary goal of this research is to investigate the spreading behavior of the COVID‐19 virus in India when people are aware of the disease. We find the optimum value of disease transmission rate and detection of the unidentified asymptomatic and symptomatic populations. An optimal control problem is designed with limited resource allocation to improve the recovered individuals. A stability analysis presents for emphasizes the relevance of disease awareness in preventing the spread of the disease. The control parameters are used to explore the increase and decrease of the infected individual with and without control in optimal control analysis. The model is simulated using the Hattaf‐fractional derivative to study the memory effect in the epidemic. To adapt the model to the total number of reported COVID‐19 cases in India, we collected data from March 20, 2021 to September 30, 2021. According to the simulation results, the pandemic would spread faster if awareness campaigns were improperly carried out.
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