Abstract
This paper proposes a design of a predator-prey system with adaptive controller. It assumes simultaneous operation of complex outbreak pressing. Mathematical model for the entire system is represented in the form of a 2-order system. Adaptation mechanism is based on method of Lyapunov function. MATLAB simulation confirms the efficiency of proposed. However, the problem for construction of an adaptive control system with reference model consists in a finding of such parameters with estimations of control at which the complex behavior can be stabilization to the predicted level. The method of Lyapunov's second method the adaptive laws with reference model is also discussed. This should develop the situation throughout the testing and improving new control methods and phases based on population dynamics model.