The research considers the actual task of developing a model for evaluating the influence of scientists, taking into account the dynamics of changes in publishing activity. The paper formalizes the concept of the scientist's information environment, particularly the scientist's influence and the subject space. It shows the connection of the information space with choosing scientific partners. The concepts of the dynamic information space of a scientist and the subject scientific environment of a scientist are also introduced. It is established that they are accumulative in nature. As a result, a model for evaluating the influence of scientists based on the global citation network was developed, considering the age of scientific results. The introduction of the aging factor of the publication allows for increasing the sensitivity of the method for evaluating the influence of scientists. The developed model makes it possible to improve the cooperation of scientific teams, which is the basis of the analysis of their productivity.