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具有马尔可夫切换的随机冠状病毒(COVID-19)流行模型的动力学

Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching.

作者信息

Boukanjime Brahim, Caraballo Tomás, El Fatini Mohamed, El Khalifi Mohamed

机构信息

Laboratory of PDE's, Algebra and spectral Geometry, Faculty of Sciences, Ibn Tofail University, Kénitra, BP 133, Morocco.

Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Tarfia, s/n, Sevilla, 41012, Spain.

出版信息

Chaos Solitons Fractals. 2020 Dec;141:110361. doi: 10.1016/j.chaos.2020.110361. Epub 2020 Oct 16.

Abstract

In this paper, we analyze a stochastic coronavirus (COVID-19) epidemic model which is perturbed by both white noise and telegraph noise incorporating general incidence rate. Firstly, we investigate the existence and uniqueness of a global positive solution. Then, we establish the stochastic threshold for the extinction and the persistence of the disease. The data from Indian states, are used to confirm the results established along this paper.

摘要

在本文中,我们分析了一个受白噪声和电报噪声干扰且包含一般发病率的随机冠状病毒(COVID - 19)流行模型。首先,我们研究全局正解的存在性和唯一性。然后,我们建立了疾病灭绝和持续存在的随机阈值。印度各邦的数据被用于证实本文所建立的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/53fb/7566849/6fb32b7d89f4/gr1_lrg.jpg

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