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2024 | OriginalPaper | Chapter

Numerical Determination of Age-Dependent Coefficients in an Integro-Hyperbolic System of Honeybee Population Dynamics

Authors : Slavi Georgiev, Lubin Vulkov

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

We investigate the problem of recovering of a space-dependent reaction coefficient in a integro-hyperbolic system of equations. This is a model of honeybee population dynamics with unknown functions, susceptible population of hive bees \(H_{S}\) and foraging bees \(F_{S}\) and infected population \(H_{I}\) and \(F_{I}\). In the present study we concentrate on the linearized infection model, proposed in [6]. The recovering model is solved at integral observation that can be considered as generalized point observations. A numerical approach based on the characteristics of the hyperbolic part of the integro-differential operator is developed. Computational examples are discussed.

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Title: Numerical Determination of Age-Dependent Coefficients in an Integro-Hyperbolic System of Honeybee Population Dynamics
Authors: Slavi Georgiev
Lubin Vulkov
Publisher: Springer Nature Switzerland
Book: New Trends in the Applications of Differential Equations in Sciences
Print ISBN: 978-3-031-53211-5

Electronic ISBN: 978-3-031-53212-2

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-53212-2_35

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