Abstract
The article is devoted to the study of modern world economic trends in the implementation and use of infrastructure models for the development of the tourist and recreational sphere, in particular in Ukraine, in the context of a modern transformational economy. In the framework of this study, the methods and models used to develop tourist infrastructure were considered. The purpose of the simulation is to study some possible scenarios of resource redistribution in developing systems with asymmetry of production and consumption and the ability to manage to change these scenarios by changing the parameters of system elements. The use of mathematical modeling is becoming an integral part of many spheres of life, it allows to "understand" much better certain processes of modeling in tourism, it has a high social significance, namely to overcome the seasonality factor, sustainable tourism development, improving employment. etc. The development of a strategy for the development of infrastructure of tourist and recreational areas is based on the image of the desired future, which is largely determined by current problems and reflected in the strategy in the form of goals. Of particular relevance are the tasks of developing and improving tools for modeling to improve the tourism and recreation, it a set of mechanisms, models and technologies by which in real time it is possible to solve the variables of domestic and foreign resort and recreational areas. Planning the development of the recreational area, as any complex system, requires estimates of quantitative and qualitative patterns of its functioning, which can be obtained on the basis of a set of mathematical models. The use of mathematical modeling allows you to make predictions in complex systems and make effective management decisions in choosing ways of further development. The influence of the implementation of infrastructure projects on the development of tourist and recreational systems in the conditions of modern changes is theoretically proved. On the example of the policy of the world regarding the development of tourist and recreational areas, the importance of applying economic and mathematical models in the modern world is clearly emphasized.
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