[Modeling of the forest insect population size: a game theory approach]

A game theory model of insect population dynamics is proposed. For the case when the population may be in one of two states: when physiological processes are directed to growth and reproduction, and when physiological processes are directed to the development of defense reactions, outbreaks of mass reproduction of insect populations may occur in conditions when population and environment have the "memory", and the state of population and environment depends on their state at the previous time moment. In the framework of the model, the well known effect of insect phase variation during the outbreak of reproduction is explained.