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Identification of Parameters of Conservative Multispecies Lotka-Volterra System Based on Sampled Data

Author

Listed:
  • Aleksandr Semenov

    (Institute for Problems in Mechanical Engineering, 199178 Saint Petersburg, Russia)

  • Alexander Fradkov

    (Institute for Problems in Mechanical Engineering, 199178 Saint Petersburg, Russia)

Abstract

In this paper, we propose a method for identifying the parameters of the multispecies Lotka-Volterra model based on sampled data. The conditions (nonhyperplanarity, recurrence) under which the “Stripe” algorithm achieves the identification goals are found. The relation between nonhyperplanar recurrent trajectories and the persistent excitation condition for systems of general form is studied.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:248-:d:1317772
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    References listed on IDEAS

    as
    1. Pchelkina, Irina & Fradkov, Alexander L., 2012. "Control of oscillatory behavior of multispecies populations," Ecological Modelling, Elsevier, vol. 227(C), pages 1-6.
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