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Non-Markov stochastic dynamics of real epidemic process of respiratory infections

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dc.contributor.author Yulmetyev R.
dc.contributor.author Emelyanova N.
dc.contributor.author Demin S.
dc.contributor.author Gafarov F.
dc.contributor.author Hänggi P.
dc.contributor.author Yulmetyeva D.
dc.date.accessioned 2018-09-17T20:43:40Z
dc.date.available 2018-09-17T20:43:40Z
dc.date.issued 2004
dc.identifier.issn 0378-4371
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/133952
dc.description.abstract The study of social networks and especially of stochastic dynamics of diseases spread in human population has recently attracted considerable attention in statistical physics. In this work we present a new statistical method of analyzing the spread of epidemic processes of grippe and acute respiratory track infections (ARTI) by means of the theory of discrete non-Markov stochastic processes. We use the results of our last theory (Phys. Rev. E 65 (2002) 046107) to study statistical memory effects, long-range correlation and discreteness in real data series, describing the epidemic dynamics of human ARTI infections and grippe. We have carried out the comparative analysis of the data of the two infections (grippe and ARTI) in one of the industrial districts of Kazan, one of the largest cities of Russia. The experimental data are analyzed by the power spectra of the initial time correlation function and the memory functions of junior orders, the phase portraits of the four first dynamic variables, the three first points of the statistical non-Markov parameter and the locally averaged kinetic and relaxation parameters. The received results give an opportunity to provide a strict quantitative description of regular and stochastic components in epidemic dynamics of social networks taking into account their time discreteness and effects of statistical memory. They also allow to reveal the degree of randomness and predictability of the real epidemic process in the specific social network. © 2003 Elsevier B.V. All rights reserved.
dc.relation.ispartofseries Physica A: Statistical Mechanics and its Applications
dc.subject Complex systems
dc.subject Discrete non-Markov processes
dc.subject Grippe and Acute respiratory track infections
dc.subject Stochastic processes
dc.subject Time-series analysis
dc.title Non-Markov stochastic dynamics of real epidemic process of respiratory infections
dc.type Article
dc.relation.ispartofseries-issue 1-2
dc.relation.ispartofseries-volume 331
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 300
dc.source.id SCOPUS03784371-2004-331-12-SID0242607015


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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