大流行病发展过程的模拟

V. Baran, E. Baran
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引用次数: 1

摘要

该研究致力于开发利用模拟工具预测COVID-19发病率的数学模型。自二十世纪初以来,人们一直在研究传染病传播的建模方法。在经典的SIR模型中,整个种群被分为三个部分:“易感-感染-恢复”。在20世纪80年代,中间状态——“感染,但尚未感染”被添加到经典模型中。这种模式被称为SEIR。在这两个模型中,流行病的传播都用微分方程组来描述,并用数值方法求解。重要的是,需要新的模拟建模方法来预测冠状病毒大流行的演变。这项基于经典SEIR模型(“易感-感染但尚未感染-感染-恢复”)的研究提出了几种建立模型的方法:具有长平台期,具有两个或更多波。用于仿真的现代工具是Anylogic 8。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
SIMULATION OF PANDEMIC DEVELOPMENT PROCESSES
The study is devoted to the development of mathematical models for predicting the incidence of COVID-19 using simulation tools. Methods of modeling the spread of infectious diseases have been studied since the beginning of the twentieth century. In the classical SIR model, the entire population was divided into three parts: «susceptible – infected – recovered». In the 1980s, the intermediate state – «infected, but not yet infectious» was added to the classical model. This model is called SEIR. The spread of the epidemic in both models is described by a system of differential equations, which is solved using numerical methods. Significantly new simulation modelling approaches are necessary to forecast evolution of the coronavirus pandemic. This study based on the classical SEIR model («susceptible – infected but not yet infectious – infected – recovered») suggests several methods for developing models: with a long plateau, with two or more waves. The modern tool used for the simulation is Anylogic 8.
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