Parameter Estimation Analysis in a Model of Honey Production-Reference-Cited by-同舟云学术

Parameter Estimation Analysis in a Model of Honey Production

Published:2023-02-17 Issue:2 Volume:12 Page:214
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Atanasov Atanas Z.¹^ORCID,Georgiev Slavi G.²³^ORCID,Vulkov Lubin G.³^ORCID

Affiliation:

1. Department of Agricultural Machinery, Agrarian Industrial Faculty, University of Ruse, 7004 Ruse, Bulgaria

2. Department of Informational Modeling, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

3. Department of Applied Mathematics and Statistics, Faculty of Natural Sciences and Education, University of Ruse, 7004 Ruse, Bulgaria

Abstract

Honeybee losses are an extensive global problem. In this study, a new compartment model of honeybee population that mainly concerns honey production is developed. The model describes the interaction of the food stock with the brood (immature bees), adult bees and produced honey. In the present paper, the issue of an adequate model recovery is addressed and the parameter identification inverse problem is solved. An adjoint equation procedure to obtain the unknown parameter values by minimizing the functional error during a period of time is proposed. Numerical simulations with realistic data are discussed.

Funder

Bulgarian National Science Fund

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/214/pdf

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