SPEED-GRADIENT CONTROL OF AN INVARIANT FOR MULTISPECIES POPULATIONS

Alexander Fradkov, Irina Pchelkina

The problem of control of an invariant for the model of the multispecies Lotka-Volterra ecosystem model is examined. The algorithm for control of oscillatory behavior of the ecosystem based on the speed-gradient method is designed. The conditions of achievement of the control goal are proposed. The results of numerical experiments for control of four-species model by two parameters (birth rates) are presented.

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