真实统计数据下信息和lsamvy噪声对随机COVID-19流行模型的影响

IF 1.8 4区数学 Q3 ECOLOGY Journal of Biological Dynamics Pub Date : 2022-03-26 DOI:10.1080/17513758.2022.2055172

Peijiang Liu, Lifang Huang, Anwarud Din, Xiangxiang Huang

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引用次数: 0

摘要

本文考虑了包含信息干预和lsamvy噪声影响的随机冠状病毒(COVID-19)易感-感染-去除流行病模型的动力学行为。证明了模型正解的存在唯一性。然后，我们建立了一个随机阈值作为疾病灭绝和持续的充分条件。基于现有的COVID-19数据，对模型的参数进行估计，并用实际统计量对模型进行拟合。最后，给出了数值模拟来支持理论结果。

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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Impact of information and Lévy noise on stochastic COVID-19 epidemic model under real statistical data

In this paper, we consider the dynamical behaviour of a stochastic coronavirus (COVID-19) susceptible-infected-removed epidemic model with the inclusion of the influence of information intervention and Lévy noise. The existence and uniqueness of the model positive solution are proved. Then, we establish a stochastic threshold as a sufficient condition for the extinction and persistence in mean of the disease. Based on the available COVID-19 data, the parameters of the model were estimated and we fit the model with real statistics. Finally, numerical simulations are presented to support our theoretical results.

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.