title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼ Ñ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸ÐµÐ¼ Ð² ÑÑÐµÐ´Ðµ AnyDynamics
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Modeling of systems with a delay in the AnyDynamics environment
Creators: name: Ð¡ÐµÐ¼ÐµÐ½ÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ñ
Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸Ñ
ÑÐµÐ°Ð»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ
epidemiology
delays
real data

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼ Ñ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸ÐµÐ¼ Ð² ÑÑÐµÐ´Ðµ AnyDynamicsÂ». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð½Ð°Ð¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ¸ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼Ð¸ Ñ ÑÑÑÑÐ¾Ð¼ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸Ð¹ Ð² ÑÑÐµÐ´Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ AnyDynamics. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: ÑÐ´ÐµÐ»Ð°ÑÑ Ð¾Ð±Ð·Ð¾Ñ Ð¿Ð¾ ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¼ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼ Ð¸ Ð²ÑÐ±ÑÐ°ÑÑ ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð² ÐºÐ¾ÑÐ¾ÑÑÑ Ð±ÑÐ´ÑÑ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ñ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸Ñ; ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÑÑ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ñ ÑÑÑÑÐ¾Ð¼ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸Ñ; ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°ÑÑ Ð¿ÑÐ¸Ð¼ÐµÑÑ ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÑÑÑÐ¾Ð¼ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸Ð¹ Ð² ÑÑÐµÐ´Ðµ AnyDynamics; ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿Ð¾ ÑÐ¸ÑÑÐµÐ¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ Ð½Ð°Ð¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼Ð¸ Ñ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°Ð½Ð¸ÑÐ¼Ð¸ Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð´ÐµÐ»Ð°Ð½Ð° Ð² ÑÐ½Ð¸Ð²ÐµÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ðµ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ AnyDynamics, ÑÐ°ÐºÐ¶Ðµ ÑÐ¸ÑÑÐµÐ¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð±ÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python. ÐÐ»Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð¿Ð¾ ÑÐ°Ð³Ð°Ð¼ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ 2 Ð²Ð¸Ð´Ð° Ð³Ð¸Ð±ÑÐ¸Ð´Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼,Â  Ð´Ð»Ñ ÑÐ°Ð·Ð½ÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð´Ð°Ñ. Ð ÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð±ÑÐ»Ð¸ Ð´Ð¾Ð±Ð°Ð²Ð»ÐµÐ½Ñ Ð² ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÑÑ Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÑ ÑÑÐµÐ´Ñ AnyDynamics. ÐÑÐ¾Ð¼Ðµ ÑÑÐ¾Ð³Ð¾, Ð¿Ð¾Ð»ÑÑÐ¸Ð²ÑÐµÐµÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð² Ð±ÑÐ´ÑÑÐ¸Ñ Ð¿ÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ð°Ñ Ð½Ð° Ð±Ð°Ð·Ðµ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð½ÑÑ Ð² ÑÑÐ¾Ð¹ Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¸ Ð² Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ñ Ð¨Ð¼ÐµÐ»ÑÐ²Ð° Ð. Ð. Ð¸ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð¾Ð¹ Ð®. Ð., Ð¿Ð»Ð°Ð½Ð¸ÑÑÐµÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð³Ð¾ÑÐ¾Ð´Ð°. Ð­ÑÐ° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ñ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·ÑÐ²Ð°ÑÑ Ð½Ð° Ð±Ð»Ð¸Ð¶Ð°Ð¹ÑÐ¸Ð¹ Ð¿ÐµÑÐ¸Ð¾Ð´ Ð¿ÑÐ¾ÑÐµÐºÐ°Ð½Ð¸Ðµ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÑ Ð·Ð°Ð±Ð¾Ð»ÐµÐ²Ð°Ð½Ð¸Ð¹ Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ ÑÐµÐ³Ð¸Ð¾Ð½Ð¾Ð², Ð¾Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐ¸ÐºÐ¸ Ð¸Ð·Ð¾Ð»ÑÑÐ¸Ð¸, Ð¾Ñ ÑÑÐ¾Ð²Ð½Ñ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ¸ Ð¼ÐµÐ´ÑÑÑÐµÐ¶Ð´ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÐµÐ°Ð±Ð¸Ð»Ð¸ÑÐ°ÑÐ¸Ð¸ Ð¿Ð°ÑÐ¸ÐµÐ½ÑÐ¾Ð².
description: Topic of the final qualification work: "Modeling of systems with a delay in the AnyDynamics environment". This work is devoted to filling the epidemiological library with models taking into account delays in the AnyDynamics modeling environment. During the study, the following tasks were solved: make an overview of epidemiological models and select those models in which delays will be implemented;consider the proposed methods for solving systems of equations taking into account the entanglement; implement examples of epidemiological models taking into account delays in the AnyDynamics environment; develop an algorithm for systematization of real data. The work on filling with models with delays was done in the universal environment of computer modeling AnyDynamics, as well as the systematization of real data, an algorithm was developed in the Python programming language.Â To implement the method step by step, 2 types of hybrid systems were developed for different mathematical problems. The implemented models were added to the epidemiological library of the AnyDynamics environment. In addition, the results obtained in the future prospects on the basis of the models described in this graduation paper and in the materials of Shmelev I. A. and Pelevina Yu. A., it is planned to develop a model of the city. This model will make it possible to predict the course of infectious diseases in the near future, depending on the regions, on the implementation of the isolation policy, on the level of training of medical institutions for the rehabilitation of patients.