用SEIR模型对两株Covid-19疾病进行数学分析

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2022-12-28 DOI:10.5614/j.math.fund.sci.2022.54.2.1

A. S. Eegunjobi, O. Makinde

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引用次数: 2

摘要

当前，全球面临的最大公共卫生问题是新冠肺炎大流行。自COVID-19成为人们关注的焦点以来，人们一直因这种疾病而直接失去亲人和亲人。在这里，我们提出了一个六室流行病学模型，该模型本质上是确定性的，用于特定社区中两种COVID-19疾病株的出现和传播，并通过隔离和治疗恢复。利用微分方程稳定性理论对模型进行定性分析。我们推导了这两种菌株的基本繁殖数，并研究了参数的敏感性指数。除此之外，我们还探讨了无病平衡的全局稳定性。无病平衡是全局稳定的，且模型呈现正向分岔。进行了数值模拟，并对相关结果进行了图形化显示和讨论。

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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Mathematical Analysis of Two Strains Covid-19 Disease Using SEIR Model

The biggest public health problem facing the whole world today is the COVID-19 pandemic. From the time COVID-19 came into the limelight, people have been losing their loved ones and relatives as a direct result of this disease. Here, we present a six-compartment epidemiological model that is deterministic in nature for the emergence and spread of two strains of the COVID-19 disease in a given community, with quarantine and recovery due to treatment. Employing the stability theory of differential equations, the model was qualitatively analyzed. We derived the basic reproduction number for both strains and investigated the sensitivity index of the parameters. In addition to this, we probed the global stability of the disease-free equilibrium. The disease-free equilibrium was revealed to be globally stable, provided and the model exhibited forward bifurcation. A numerical simulation was performed, and pertinent results are displayed graphically and discussed.

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来源期刊

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.