One of the most important problems of demographic statistics is studying of natural movement of the population. One of the major indicators of studying the natural movement is the rate of birth. In this article econometric models of linear regression of dependence of birth rate of the population from security with the medical personnel and expenses on health care, physical culture and sport were constructed.The importance of the constructed models and their parameters is checked, the forecast becomes.

Keywords: birth rate of the population, demographic policy, econometric models, multiple and pair linear regression, importance of model

In article consider the development of modeling spatial spread of epidemics to improve  the quality and accuracy of anti-epidemic situation using a combination of simulation model based on stochastic model of compartmental and cellular automaton. The epidemic is spatially distributed dynamical system to describe the spatial- temporal behavior of the application of models which class of cellular automata. Cellular automata are discrete dynamical systems, which is a collection of identical cells, the same way interconnected. All cells form, the so-called lattice cellular automaton. Lattice can be of different types, differing both in dimension and shape of cells. Each cell is a finite state machine whose states are determined by the states of neighboring cells. Cells can be placed on a one-dimensional line, plane or in a multidimensional space

Keywords: Cellular automata, simulation modeling, mathematical model, epidemic diseases, model of cholera, dynamical system, Anylogic

In the article it is shown that the engineering professional abilities proved to be claimed, also, in the especially humanitarian divisions of the science: history, sociology, politologii, konfliktologii and other Which makes it possible to speak about the convergence of engineering methods and professional scopes of the specialists of humanitarian profile. The illustrations of the tendency of this change in the southern federal university are given. Are examined the most interesting aspects of the advance of engineering methods and tools in the humanitarian formation, in scientific studies and developments, conducted with the participation of scientists, specialists and the students of the North-Caucasian scientific center of southern federal university.

Keywords: convergence, simulation, methodology, social simulation, information set of instruments, agent base modeling, system dynamics, the discrete- event-related models

The paper approaches of different paradigms of simulation in the study of subsystems of modern society, including relating to the service sector - such as cultural complex, the regional scientific environment, the educational and innovation system.  Examples of models appropriate social processes and systems are presented. Concluded that modern experts studying social processes (sociologists, conflict, political scientists) should be able to use the simulation.

Keywords: simulation, cultural complex, the scientific environment, education system, discrete-event simulation, agent-based modeling

It is shown that for research of difficult processes of social interaction at the present stage of development of system modeling hierarchical systems of cognitive models, cognitive architecture and the integrated systems of modeling are even more often used. With reference to these processes the system of models should reflect various abstractions of the description of structure, various aspects of her behavior, stages (iterations) of its evolution in the course of functioning and development. It is offered to consider architecture of set of models in a need context for the solution of a task at a concrete investigation phase.

Keywords: process of social interaction, research, modeling, modeling technologies, systems modeling.