
	National Security Reference: Shumov V.V. Basic model of security and its expansion // National Security. 2016. № 1. P. 12-29. URL: https://en.nbpublish.com/library_read_article.php?id=67528 Shumov V.V. Basic model of security and its expansion Abstract: This work explores the factors that significantly affect the security of the constituents of the Russian Federation. For considering in the mathematical model the following factors are being determined: climate factor, socioeconomic factors, level of transnational wellness, and level of integration of the regional national groups into the unified social space of the country. Security is defined through the dichotomy of the values of development and values of preservation. The parameters of the model are being evaluated considering the data on the migration of the population. The author presents calculations on the assessment of the security level in the Russian regions during the peace time and war time (not taking into account the military factors). By using the systemic and historical approaches, along with the methods of mathematical modelling, the author formulates the criterion of regional security, which reflects the values of development (socioeconomic factors) and values of preservation (complementarity of ethnoses, integration of national and regional groups into the country’s social space). The Pareto distribution is used in building of this model; the assessment of parameters is carried out via using the method of least squares. The basic model of regional security can be applied in modelling (expansion of a model): sociopolitical and socioeconomic security, demographical and environmental security, safety in circumstances of emergencies, border security, etc. Keywords: regional security, security criterion, mathematical model, expansion model, scenario approach, complementarity of ethnic groups, Pareto distribution, estimation of model parameters, security criterion, verification of the model This article can be downloaded freely in PDF format for reading. Download article References 1. TsK VKP(b) i natsional'nyy vopros. Kn. 2. 1933–1945 / Sost.: L. S. Gatagova, L. P. Kosheleva, L. A. Rogovaya, Dzh. Kadio. – M.: Rossiyskaya politicheskaya entsiklopediya (ROSSPEN), 2009. – S. 299. 2. Sotsiologicheskiy slovar'. [Elektronnaya publikatsiya]. URL: http://enc-dic.com/sociology/ (data obrashcheniya – 30.07.14). 3. 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Shumov V.V. Basic model of security and its expansion