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On an optimal control problem related to A.D. Bazykin’s general predator-prey model

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Abstract

We consider a controlled analog of A.D. Bazykin’s predator-prey model and study the time optimization problem for this model. Under broad assumptions, we prove the bangbang property of the optimal control for the optimization problem in question and obtain an upper bound for the number of points of discontinuity of the bang-bang optimal control. We also analyze the time optimization problem for the controlled analog of the Lotka-Volterra predatorprey model.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Moscow, Russia

    M. S. Nikol’skii

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  1. M. S. Nikol’skii
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Original Russian Text © M.S. Nikol’skii, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 11, pp. 1638–1645.

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Nikol’skii, M.S. On an optimal control problem related to A.D. Bazykin’s general predator-prey model. Diff Equat 47, 1660–1667 (2011). https://doi.org/10.1134/S0012266111110127

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  • DOI: https://doi.org/10.1134/S0012266111110127

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