Abstract
We consider a controlled system of Lotka–Volterra differential equations that describes the evolution of two interrelated populations of predators and prey. The system contains two control variables, which are chosen so as to minimize the time of transition to a stationary point. The control functions and the corresponding trajectories of motion in the state space are constructed and their optimality is substantiated.
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Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2021, pp. 139–146
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Pashko, S.V. Optimal Speed of Response in the Lotka–Volterra Controlled System. Cybern Syst Anal 57, 289–295 (2021). https://doi.org/10.1007/s10559-021-00354-w
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DOI: https://doi.org/10.1007/s10559-021-00354-w