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深入研究具有六时滞和丰富控制策略的随机 SEQAIJR COVID-19 模型。

Delving a stochastic SEQAIJR COVID-19 model with hexa delayed and copious control strategies.

机构信息

Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, Tamil Nadu, India.

Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, Tamil Nadu, India.

出版信息

Gene. 2024 Sep 5;922:148560. doi: 10.1016/j.gene.2024.148560. Epub 2024 May 16.

DOI:10.1016/j.gene.2024.148560
PMID:38759739
Abstract

The actual ideal of the literature is to probe the effect of external undulation on prevalence of COVID-19. Owing to some environmental influences, we enhanced our model to the stochastic perturbations. In this article, we scrutinize a stochastic epidemic COVID-19 model with seven states of epidemiological classification. Incipiently, a sophisticated biological system with the effect of time lags put forward copious strategies. At the outset, aim of this work is to explore the existence and uniqueness of global positive solution. Moment exponential stability are upheld. By fabricating a suitable lyapunov function, the sufficient conditions for the persistence of the disease and the existence of an ergodic stationary distribution are established. To regulate the widespread of COVID-19 infection, the main intent is to curb the disease with the succor of three control measures. Finally, the theoretical results bring into being alive in the form of graphical visualization. By nurturing the comparison study, the parameters of the model system come up with real data of most afflicted countries that layout premier consequences.

摘要

本文研究了一类具有七个流行病学分类状态的随机传染病 COVID-19 模型。最初,具有时滞效应的复杂生物系统提出了大量策略。本文的主要目的是探索全局正解的存在性和唯一性。通过构造合适的李雅普诺夫函数,建立了疾病持续存在和遍历平稳分布存在的充分条件。为了控制 COVID-19 感染的广泛传播,主要目的是通过三种控制措施的帮助来遏制疾病。最后,理论结果以图形可视化的形式呈现。通过培养比较研究,模型系统的参数采用了受影响最严重国家的实际数据,得出了重要的结论。

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Gene. 2024 Sep 5;922:148560. doi: 10.1016/j.gene.2024.148560. Epub 2024 May 16.
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