Sergii V. Chernyshenko

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Models of the long-term ecological successions are considered. The model of open Eigen's hypercycle has been used to model the process. It is shown that ecological succession is a complex process with ability for self-organisation. It is distinguished two type of self-organisation: by adjusting system control parameters or by change of quantity of its(More)
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Keywords: System of ordinary quadratic differential equations Asymptotic stability(More)
The contribution is devoted to qualitative investigation of subpopulation dynamics, described by a degenerate differential model with basic logistic function. The research includes: finding stationary sets, such as isolated special points and stationary hyper-planes, investigation of their stability, complete classification of system phase portraits,(More)
KEYWORDS System of ordinary quadratic differential equations, asymp-totic stability, biological population. ABSTRACT The case of a biological population, which consists of several sub-populations (different kinds of the population " social " groups: families, bevies, etc.), has been considered. For description of non-trivial interactions between these(More)
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