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The problem of the ecological system long-term keeping near the equilibrium position with minimization of control resources is considered. A mathematical formulation of this problem and a method for optimal expenditure control constructing are presented. While deviations from the equilibrium point are very small, its controlled dynamics can be described by linear differential equations with constant coefficients. The control actions are modeled by piecewise-constant unidirectional functions with a finite number of...

The aim of this article is the studying of the "predator-prey" populations controlled interaction. The well-known Lotka-Volterra system ([1], [3], [5-15]) with control is used as a mathematical model. A complete research of this model is done: from its parameters identification to the choice of optimal control. The identification numerical algorithms are based on the Taylor series method. This method application is reasonable in this case, because right sides of the considered ODEs system can be presented in polyn...