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Control of oscillatory behavior of multispecies populations

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  • Pchelkina, Irina
  • Fradkov, Alexander L.

Abstract

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.

Suggested Citation

  • Pchelkina, Irina & Fradkov, Alexander L., 2012. "Control of oscillatory behavior of multispecies populations," Ecological Modelling, Elsevier, vol. 227(C), pages 1-6.
    • Handle: RePEc:eee:ecomod:v:227:y:2012:i:c:p:1-6
    DOI: 10.1016/j.ecolmodel.2011.10.022
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    References listed on IDEAS

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    1. Tollner, E.W. & Kazanci, C. & Schramski, J.R. & Patten, B.C., 2009. "Control system approaches to ecological systems analysis: Invariants and frequency response," Ecological Modelling, Elsevier, vol. 220(22), pages 3233-3240.
    2. Chakrabarti, C.G. & Ghosh, Koyel, 2009. "Non-equilibrium thermodynamics of ecosystems: Entropic analysis of stability and diversity," Ecological Modelling, Elsevier, vol. 220(17), pages 1950-1956.
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    Cited by:

    1. Aleksandr Semenov & Alexander Fradkov, 2024. "Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data," Mathematics, MDPI, vol. 12(2), pages 1-11, January.

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