title: [Competition and adaptation in community of migrating fish populations].
abstract: Within a discrete scheme the process of population migration is set by some non-negative Markov matrix. When studying an appropriate class of competition models, nonlinear methods of the convex analysis (the theory of monotonous operators) proved to be highly effective. For special matrixes (cyclic and perron ones) conditions of steady coexistence and competitor replacement in community have been found. Modeling mechanisms of adaptation of a route of migration for separate population and also for the family of populations from one vertical trophic chain have been provided. The major characteristic of a route of migration turned out to be the relative time of population dwelling in one or another area. Specific (perron) vectors of migration matrixes correspond to these populations. It is revealed that in the course of coadaptation perron vectors of predator and victim migration matrixes practically coincide.
authors.forename: V G
authors.initials: VG
authors.lastname: Il'ichev
mesh_terms: D000222:Adaptation, Physiological; D025041:Animal Migration / Q000502:physiology; D000818:Animals; D005399:Fishes / Q000502:physiology*; D008954:Models, Biological