Purpose The problem of ethnic conflicts and unrest is at the forefront in a diverse world today. This paper aims to identify ways of resolving social conflicts and establishing a balanced way of taking into account the diverse interests of a multinational society. Design/methodology/approach Modeling of dynamical ethnic processes in the Republic of Kazakhstan was based on the Parson's sociological scheme and the Nash equilibrium theory. The model consists of differential equations describing the development of four ethnic subsystems: political system, economic system, societal community and Institute of the Assembly of the People of Kazakhstan. This model allows investigating how the interests of various ethnic groups change over time and identifying the states of equilibrium in which the interests of all groups are satisfied. Findings The results of computer simulation showed that one of the solutions to the problem of social stability is establishing social equilibrium. For this, the Institute of the Assembly of the People of Kazakhstan (APK Institute) must take changes that occur within ethnic groups into account. The proposed model can reveal states of equilibrium with respect to positive and negative dynamic processes that exist between different ethnic groups. Originality/value The proposed model can be used to predict changes in social behavior and find balance between ethnic subsystems in the research on ethnic processes in multinational countries to early detect conflicts of interest and crisis situations. Future studies will benefit from expanding the range of subsystems that can affect alterations in the ethnic community.
This article compares biogas plants for waste processing of various modifications, discusses their advantages and disadvantages, and describes a biogas plant of its own design of horizontal type, taking into account the local climatic and economic conditions of the development of farms in Kazakhstan. Considered the application of the bioreactor of its own production, which is developed taking into account the peculiarities of the methane fermentation process and climatic factors of Kazakhstan. The development of biogas technologies in the countries of the far and near abroad is described. The analysis of mathematical models of anaerobic digestion processes is carried out, several modeling directions are considered: models based on equations of chemical reactions (works by Buswell, Muller, Boyle, etc.), on empirical dependencies (works by Safili, Westerman. Models), based on kinetic dependences on the concentration of the substrate and cells or on the inhibition process (the work of Mono, Konto, Moser, Chen and Hashimoto). The models proposed by Druzyanov V.P. and Egorova E.N. are also considered, which take into account the dependence of metabolism on the rate of mass transfer, on the power of spontaneous mixing. But all the proposed models are generalizing, and are applicable only in laboratory conditions, and do not consider parameters such as the concentration of micro-macroelements (K, Na, Ca, Mg, Mo, etc.), VFA indicators, C/N ratio, pH, degree of grinding - n, humidity, etc. The effects of which on the fermentation process in the methane tank are more significant when used on an industrial scale. Based on the materials studied, a comparative analysis of all available mathematical models of anaerobic fermentation in three directions was carried out and their advantages and disadvantages were studied. At the same time, all these studied models are applicable only in laboratory conditions and are difficult to apply on an industrial scale. Thus, we have built our own mathematical model using regression analysis methods, taking into account a variety of influencing factors used on an industrial scale.
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