[A simplest model of the spatial behaviour of individuals realizing reflexive strategies].

A simple model is suggested to describe dynamics of spatially dispersed community consisting of two species, a prey and a predator. These species occupy two biotopes, shifts between them being considered as migrations (a box migration model). Migrations are not random but lead to maximization of an average (in respect to the range) reproduction coefficient for the entire species. The basic model of community dynamics with purposeful migration is explored together with its three modifications. The modified models consider reflexive nature of spatial behavior of prey (1st modification), predator (2d modification), and the both (3d modification). Evolutionary advantages of reflexive behavior relative to non-reflexive one are studied.