The article examines and analyzes the state and economic development of the tourist market of Ukraine. The tourism sector is one of the strategic sectors of the economy, through which further socio-economic development of the state takes place. The tourism industry is an important factor in improving the quality of life in Ukraine, creating additional jobs, replenishing the state's foreign exchange reserves and increasing its authority in the international arena. Economic processes in the tourism industry that change over time can be studied on the basis of linear and nonlinear Dynamic models. The article applies an economic and mathematical model of competition of the Lotki - Volterra type, which describes the dynamics of changes in market shares by types of tourism (inbound, outbound, domestic). The projected market share by type of tourism is calculated within the framework of the proposed model. Unlike classical econometric models of competition, the Lotka-Volterra economic model allows us to fully assess the dynamics of economic processes, achieve a state of equilibrium of the studied competitive systems, and theoretically predict and control the main parameters of the model. A mathematical dependence of the dynamics of changes in the income of tour operators and travel agents on the number of tourists is also constructed. In the course of the research, methods of statistical analysis, methods of economic and mathematical modeling were used to determine the share of the tourist market and its dynamics. As a result of the study, it was found that the rate of income change is most influenced by the number of incoming tourists. A decrease in the flow of domestic tourists has a negative impact on income growth. According to the constructed Lotkа-Volterra competitive model, there is a decrease in the share of incoming and domestic tourists. The development of inbound tourism, the share of which in Ukraine has remained the smallest since 2005, will significantly increase the income of tour operators and travel agencies. These dynamic models allow you to analyze processes in the tourism industry, perform forecast assessments, develop a strategy, make management decisions and carry out planning at various levels.
The peculiarities of the use of Internet resources in the process of teaching students for hotel and restaurant business in the process of their distance learning are revealed in the researching. Scientific publications were analyzed, in which the introduction of distance learning in general and in the conditions of the COVID-19 pandemic in particular was studied. The potential aspects of using Internet resources in educational process is considered. It includes the following opportunities: search for literature sources according research problem, synchronization of translation work from foreign sources, storage and accumulation of information, organization of communication, graphics, sound effects, distribution, planning, testing and implementation research results. Students should be introduced to the organization of the educational process and material and technical base of the university in the process of distance learning are investigated in this article. In particular, it proposes to do with the help of created viber groups, introductory meetings in ZOOM, 3-D excursions. The study focuses on the use of Internet environments Moodle, ZOOM, Viber, and also revealed methodological aspects of the use of Internet sites in the process of distance learning of individual educational components of future hotel and restaurant professionals. Aspects of the use of the Internet resources during the introduction of students with the infrastructure of hotel and restaurant enterprises are also substantiated; the peculiarities of the organization of hotel and restaurant enterprise and catering are defined; the classification of hotel and restaurant enterprises, analysis of PR-technologies in the hotel and restaurant business are investigated. Approaches to the formation of knowledge the design of objects of the service sector, and training in graphic and design activities using the following software environments Kompass-3D, AutoCAD and NanoCAD are represented. The authors developed a model of using Internet resources in the process of professional training in hotel and restaurant business, which provides for the grouping of methodological aspects of the use of Internet sites in the process of studying disciplines in hotel and restaurant business. The positive and negative aspects of distance learning technology with the use of Internet resources are outlined.
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