The study is devoted to the adaptation capacity management of enterprises in the service sector. To determine the adaptation capacity of the air carrier, as an actor with a significant impact on the global tourism market, a mathematical model was proposed, which is characterized by constant variables. The model is based on the criterion of optimality of the discounted financial result of the air carrier for the entire period of modeling with restrictions on financial capabilities, demand on air lines, including the tourism, the number of flights and flight hours of planes, as well as general balance restrictions. Keywords: service sector, model, air carrier, tourism, airline, air transport market.