The article is devoted to the research of recreational forest management problems Based on the review of scientific works of foreign and domestic scientists, the main aspects of economic and mathematical modeling of the demand for recreational forest use and the main criteria for the attractiveness of recreational forest areas for recreation have been determined. An economic and mathematical model of determining the demand for recreational services, which is based on the study of the behavior and interests of the recreation, is proposed. Taking into account the economic criteria of the demand model, a mathematical model is proposed that realizes the search for the optimal recreation strategy based on the criterion of financial constraints and maximization of total usefulness. The results of the proposed models testing on one of the average forestry showed that the strategic behavior of the recreant, taking into account the economic criterion, is to minimize the total cost of the recreational process. The modeling results show that this recreational facility is in demand. The model can be adapted to other conditions of recreational areas functioning.
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