Abstract
The key for the survival of honeybees in winter is in the generation and preservation of heat. A successful study of this process is the modeling based on generalized Keller-Segel model, proposed by R.Bastaansen et al., 2020. The problem is in the form of coupled system of two parabolic equations for the temperature and bee density. The model parameters control the particular population dynamics in the hive. Our goal is to predict the optimal parameters based only on measurements of the temperature with three sensors. We perform the study on two stages. First, we solve an unknown reaction coefficient problem to determine the temperature and density. Then, we solve the next inverse problem for estimation of the parameters in the other parabolic equation, using as measured data the density, obtained by the first inverse problem. Results from numerical experiments are presented.
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This work is supported by the Bulgarian National Science Fund under the Project KP-06-PN 46-7 Design and research of fundamental technologies and methods for precision apiculture.
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Atanasov, A.Z., Koleva, M.N., Vulkov, L.G. (2023). Parameter Estimation Inspired by Temperature Measurements for a Chemotactic Model of Honeybee Thermoregulation. In: Georgiev, I., Datcheva, M., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2022. Lecture Notes in Computer Science, vol 13858. Springer, Cham. https://doi.org/10.1007/978-3-031-32412-3_4
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