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Models of Epidemiological Security Management in the Spread of the SARS-CoV-2 Virus

机译：SARS-COV-2病毒传播中流行病学安全管理的模型

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The task of managing epidemic security during COVID-19 is considered. The spread of the SARS-CoV-2 virus without and with vaccination is described by mathematical and computer models built on the basis of the epidemic control protocol adopted by the Georgian authorities. The mathematical model of the spread of the SARS-CoV-2 virus is described using the Cauchy problem for a system of ordinary differential equations. For the management of epidemiological safety, a objective function has been built, which takes into account: the financial consequences of introducing a lockdown in the country and the cost of treating the infected. Among the parameters of the model, the governing ones are highlighted. The control parameters are used to minimize the objective function. In the work, mainly theoretical research is given. However, computer simulation and a computational experiment on the proposed computer model with constant parameters allows us to answer the question: what is the number of infected citizens in the country, in which the economy does not need a lockdown, and the recovery prognosis of those infected with the SARS-CoV-2 virus is favorable.
机译：考虑了在Covid-19期间管理流行性安全的任务。由基于格鲁吉亚当局通过的流行控制协议构建的数学和计算机模型来描述SARS-COV-2病毒的扩散。使用普通微分方程系统的Cauchy问题描述了SARS-COV-2病毒的扩散的数学模型。对于流行病学安全的管理，已经建立了一个客观函数，这考虑到了：在该国引入锁定的财务后果以及治疗感染的成本。在模型的参数中，突出显示控制器。控制参数用于最小化目标函数。在工作中，主要是理论研究。但是，计算机仿真和具有恒定参数的提议计算机模型的计算实验使我们能够回答问题：该国受感染的公民的数量是多少，其中经济不需要锁定，以及那些人的恢复预后感染SARS-COV-2病毒是有利的。

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