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[Evolutionary stability in the dynamics of populations having short reproduction periods].

A special class of models of competition (D-systems) were constructed in which the coefficients of population growth are periodic delta-functions. Effective methods for the analysis of the global dynamics of D-systems were proposed. In the framework of this model system, the problem of the existence of evolutionarily stable parameters, the periods of reproduction of populations in a variable medium, was studied. Using analytical methods and the data of computer-assisted experiments, open sets of evolutionarily stable parameters were found.