One of the most important factors, which determines increasing of competitiveness of medical organizations and improvement of quality of patient service, is development of all spheres of their activity [1,2]. In this situation medical organizations should develop effective methods and adhere to the strategic concept of innovation development [3-5]. In this paper we introduce a model for prognosis of patient ser-vice in medical organizations with account possible changing of their regime of functioning. The model based on solution of ordinary differential equations. In the framework of this paper, we consider a hospital with several positions for patients. It is known intensities of input flows of medical service and requests on medical service. We introduce an analytical approach to solve the considered system of ordinary differential equations.