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Although the development of the electronic technology, very often the beekeepers are not able to provide sufficient observation data for modelling the honeybee population. In such a case of scarce data, it is the choice of the mathematical tool that is very important. In this paper, a Lagrange multipliers procedure to obtain the unknown parameter values by minimizing the error functional during a period of time is proposed. A regularization is used to stabilize the inversion. The applicability of the method is demonstrated via two basic models. Numerical simulations with synthetic and real data are discussed.

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Honeybee Population Dynamics Identification by Lagrange Multipliers Optimization

  • 会议论文

  • 发表日期：

    2025年

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  • Atanas Atanasov,
  • Slavi Georgiev,
  • Lubin Vulkov

摘要

Although the development of the electronic technology, very often the beekeepers are not able to provide sufficient observation data for modelling the honeybee population. In such a case of scarce data, it is the choice of the mathematical tool that is very important. In this paper, a Lagrange multipliers procedure to obtain the unknown parameter values by minimizing the error functional during a period of time is proposed. A regularization is used to stabilize the inversion. The applicability of the method is demonstrated via two basic models. Numerical simulations with synthetic and real data are discussed.