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 model of subpopulation dynamic of the Lotka-Volterra type has been investigated. Stability of stationary points and hyper-planes of the system was in the focus of the article; appearance conditions are found. Bifurcation analysis of system has been realized also. MATHEMATICAL MODEL The majority of existing models of population dynamics describe dynamics(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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