Control of oscillatory behavior of multispecies populations

Control problem for the model of the multispecies Lotka–Volterra ecosystem is considered. The algorithm for control of oscillatory behavior of the ecosystem based on the speed-gradient method is proposed. The conditions of convergence of the algorithm are obtained. The conditions of convergence of the algorithm are obtained. The results of numerical experiments are presented demonstrating that the speed-gradient method can achieve control goal with a small control signal, which is important in controlling real ecosystems where control action should be sufficiently small. In turn, it allows to increase stability and robustness of the oscillation behavior by means of increase of the distance from boundaries of population survival area.