考虑污染控制(致病)策略影响的新型冠状病毒肺炎数学模型SI_{u}I_{a}QR稳定性分析

Fundamental Journal of Mathematics and Applications Pub Date : 2021-03-09 DOI:10.33401/FUJMA.863224

Ü. Çakan

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引用次数: 0

摘要

本文利用时滞非线性常微分方程组，引入了考虑致病(污染)控制策略对Covid-19传播影响的新区室流行病模型。首先，建立了具有时滞过程的QR流行病模型，并对隔离和亲和产生的参数进行了分析。然后得到模型的无病平衡点和地方病平衡点。用下一代矩阵法求出了基本繁殖数r0，并对无病平衡点和地方病平衡点的稳定性结果进行了研究。最后通过算例说明了控制策略的效果。

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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Stability analysis of a mathematical model SI_{u}I_{a}QR for COVID-19 with the effect of contamination control (filiation) strategy

In this study, using a system of delay nonlinear ordinary differential equations, we introduce a new compartmental epidemic model considered effect of ﬁliation (contamination) control strategy to the spread of Covid-19. Firstly, the formulation of this new SI u I a QR epidemic model with delay process and the parameters arised from isolation and ﬁliation is formed. Then the disease-free and endemic equilibrium points of the model is obtained. Also, the basic reproduction number R 0 is found by using the next generation matrix method and the results on stabilities of the disease-free and endemic equilibrium points are investigated. Finally some examples are presented to show the effect of ﬁliation control strategy.

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Fundamental Journal of Mathematics and Applications

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