[On selection criteria in spatially distributed models of competition].

Discrete models of competitors (initial population and mutants) are considered in which reproduction is set by increasing and concave function, and migration in the space consisting of a set of areas, is described by a Markov matrix. This allows the use of the theory of monotonous operators to study problems of selection, coexistence and stability. It is shown that the higher is the number of areas, more and more severe constraints of selective advantage to initial population are required.

[Competition and adaptation in community of migrating fish populations].

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.

[Electrophysiological characteristics of animal respiratory muscles after long-term stay at high altitudes].

Experiments were made using rats at different stages of readaptation after long-term stay at high altitudes. Characteristics of bioelectrical activity of respiratory muscles were obtained for the first time, its spectral picture is described in different periods of readaptation.

[Evolutionary stability of biological communities].

Some new schemes have been proposed for evolutionary ecological models, where the variables and the parameters vary simultaneously. These models have low dimensions and high-speed performance. It is studied how periodic changes in the temperature influence the population dynamics and location of the evolutionary stable parameters (i.

[Structure of feedbacks with delay and stability of ecological systems].

A conception of heterogeneous structure of organic substances realizing feedback (or a beam of feedbacks) with delay in ecological systems is developed. Criteria of stability of biocenoses closed by matter depending on properties of discrete and continuous feedback families are defined. In the latter care, there exists a global characteristics (=dispersion) of the feedbacks beam, which serves as an indicator of ecosystem stability.