['Prey-predator' model with purposeful space migration of individuals]

Two species "prey-predator model" where the individuals purposefully migrate between two habitats is considered. A migration is regarded as transference from one habitat to another yielding in maximization of average (over two habitats) coefficient of reproduction. Targeted migration results in the increase in average abundance of population comparing with discrete analogies of classic equations of Volterra and also to the enlargement of the area of the admissible meanings of parameters. A great variety of dynamic regimes has been observed, some of them could be interpreted as outbreak explosion.