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随机时滞 COVID-19 传染病模型的灭绝与持续。

Extinction and persistence of a stochastic delayed Covid-19 epidemic model.

机构信息

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology, Thonburi (KMUTT), Thrung Khru, Bangkok, Thailand.

Department of Mathematics and Statistics, University of Swat, Swat, KPK, Pakistan.

出版信息

Comput Methods Biomech Biomed Engin. 2023 Mar;26(4):424-437. doi: 10.1080/10255842.2022.2065631. Epub 2022 May 2.

DOI:10.1080/10255842.2022.2065631
PMID:35499952
Abstract

We formulated a Coronavirus (COVID-19) delay epidemic model with random perturbations, consisting of three different classes, namely the susceptible population, the infectious population, and the quarantine population. We studied the proposed problem to derive at least one unique solution in the positive feasweible region of the non-local solution. Sufficient conditions for the extinction and persistence of the proposed model are established. Our results show that the influence of Brownian motion and noise on the transmission of the epidemic is very large. We use the first-order stochastic Milstein scheme, taking into account the required delay of infected individuals.

摘要

我们建立了一个带有随机扰动的冠状病毒(COVID-19)延迟传播模型,该模型由三个不同的类别组成,分别是易感人群、感染人群和隔离人群。我们研究了这个问题,以推导出非局部解的正可行区域中至少存在一个唯一解。建立了所提出模型灭绝和持续的充分条件。结果表明,布朗运动和噪声对传染病传播的影响非常大。我们采用了一阶随机 Milstein 格式,考虑了感染个体的延迟时间。

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