mathematical model

The problems of development of united territorial communities, in particular unemployment and economic problems, are considered. Communities, in most cases, lack the resources to address economic and other issues. Therefore, it is necessary to create self-sufficient communities in which there are enough financial instruments for their own development. The mathematical model of the decision support system for the development of territorial communities using the agro-industrial sector was considered.

In the paper, the mathematical model for determination of the region boundary of biaxial elastic states of orthotropic materials is synthesized and the system of nonlinear algebraic equations for identification of its parameters is obtained. Using the continuous method of solution continuation concerning the best parameter and the Runge-Kutta method, the demarcation curves of absolutely elastic and non-elastic deformation regions for pine trees are depicted.

The effect of nitrogen oxides in the presence of sulfur oxide on the absorption of carbon dioxide by chlorophyll – producing microalgae  Chlorella was investigated. Experimental dependences of the dynamics of CO2 uptake by microalgae in the presence of NxOy alone and at the critical concentration of the SO2 photosynthesis inhibitor in the presence of NxOy are presented.

A combination of asymptotic methods in nonlinear mechanics with basic techniques of perturbation theory to study a mathematical model of the nonlinear oscillation system is proposed in the paper.  The system under consideration describes the torsional vibrations of an elastic body, where its elastic properties are under the nonlinear law.  The relationships presented as the ordinary differential equations are obtained due to the proposed procedure.  Therefore, the main parameters of the single-frequency oscillations and the resonance conditions can be determined.  There are proposed applica

A mathematical model and the respective structural scheme of the convective heating surfaces of the TPP-210А steam boiler were developed as a system of interconnected heat exchangers. The interconnected convective heating surfaces are regarded as the convective heat transfer system of the boiler.

Thermal processes of new technological methods of heat treatment (thermocyclic, electropulse) of metals and alloys are considered in the paper.  Mathematical models of the temperature field in a moving tape and a wire with cyclically acting pulsed heat sources are considered.  Based on these models, the formulation of inverse problems for homogeneous and inhomogeneous thermal conductivity equations is proposed.  For each case (internal, external heat source or a combination), the appropriate method for solving the inverse problem is proposed.  The integral condition of heat balance is used

Quality medical care is an important indicator of the economic development of a country. Today, improving the quality of health care services is a priority for both health care institutions and the state as a whole. The development of methods and tools for continuous improvement of the quality of medical services promotes regulation, the perfection of those services, ensures the effective working of all the components together and the consistency and continuity of their provision, as well as help the staff to determine how to achieve the optimal level of care.