title: ÐÐ¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ° Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¿Ð¾ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¹ Ð´Ð»Ñ ÑÑÐµÐ´Ñ Â«AnyDynamicsÂ»
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Library of infection spreading models for the Â«Any DynamicsÂ» environment
Creators: name: Ð¨Ð¼ÐµÐ»ÑÐ², ÐÐ»Ñ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¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
anydynamics
Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÐ¾Ð½Ð°Ð²Ð¸ÑÑÑÐ°
simulation modeling
single-component models
multi-component models
probabilistic models
coronavirus propagation model

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ° Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¿Ð¾ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¹ Ð´Ð»Ñ ÑÑÐµÐ´Ñ Â«AnyDynamicsÂ»Â».ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐºÑÐ¸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:1. ÐÐ±Ð·Ð¾Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ð¹ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¹ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ².2. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¾ Ð·Ð°ÑÐ°Ð¶ÐµÐ½Ð¸Ð¸ Ð² Ð¿ÐµÑÐ¸Ð¾Ð´ ÐºÐ¾ÑÐ¾Ð½Ð°Ð²Ð¸ÑÑÑÐ½Ð¾Ð¹ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¸3. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÐ¾ÑÐ¾Ð½Ð°Ð²Ð¸ÑÑÑÐ½Ð¾Ð¹ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¸4. Ð¡ÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ñ ÑÐµÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð·Ð°ÑÐ°Ð¶ÐµÐ½Ð¸ÑÐ ÑÐ¾Ð´Ðµ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ Ð²Ð¸Ð´Ð¾Ð² Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¹, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð° Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð² ÑÑÐµÐ´Ðµ AnyDynamics. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ñ Ð¿ÑÐ¸Ð¼ÐµÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÑ Ð¸ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¸Ð· ÑÑÐµÐ±Ð½Ð¾-Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ âÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐ¿Ð¸Ð´ÐµÐ¼Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ñâ Ð. Ð. ÐÐµÐ¾Ð½ÐµÐ½ÐºÐ¾[3].ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¸Ð·ÑÑÐµÐ½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÐ¾Ð½Ð°Ð²Ð¸ÑÑÑÐ½Ð¾Ð¹ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¸ Ð² Ð±Ð¾Ð»ÑÑÐ¾Ð¼ Ð³Ð¾ÑÐ¾Ð´Ðµ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·Ð°Ð½Ð¸Ð¹ ÑÐ¸ÑÐ»Ð° Ð·Ð°ÑÐ°Ð¶ÐµÐ½Ð½ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÑÐµÐ½Ñ Ð½Ð° ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¸Ð· ÑÐ°Ð±Ð¾ÑÑ Ð. Ð. ÐÐ°ÑÐ°ÑÐ¾Ð²Ð°[2].Â 
description: The subject of the graduate qualification work is: Â«Library of infection spreading models for the Â«AnyDynamicsÂ» environmentÂ».This paper focuses on the development of infection propagation models in the AnyDynamics simulation environment. The tasks that were solved in the course of the study are as follows:1. A review of existing models of the spread of infections and studies of their properties.2. Study of real data on infection during coronavirus infection3. Development of a simulation model of coronavirus infection4. Comparative analysis of constructed models with real infection dataÂ In the course of this work, several types of infection spreading models were discussed, in particular, the first chapter deals with the construction of single-component models in the AnyDynamics environment, as well as the properties of these models. Next, examples of multicomponent and probabilistic models were built based on the examples given in the textbook "Mathematical Epidemiology" by V. N. Leonenko[3].Based on the implemented models, a simulation model of coronavirus infection was built, the results of predictions of infections of which were verified using real data from the work of V. V. Zakharov[2]. These data were also used to compare all other infection spreading models.