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A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality

We formulate and study a mathematical model for a honeybee colony infected with Varroa mites which describes the parallel phenomena of the spread of both the mites and the virus transmitted by them. We extend our previous model by including infected forager bees and considering model parameters as t...

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Detalles Bibliográficos
Autores principales: Ibrahim, Mahmoud A., Dénes, Attila
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9485042/
https://www.ncbi.nlm.nih.gov/pubmed/36148272
http://dx.doi.org/10.1016/j.heliyon.2022.e10648
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author Ibrahim, Mahmoud A.
Dénes, Attila
author_facet Ibrahim, Mahmoud A.
Dénes, Attila
author_sort Ibrahim, Mahmoud A.
collection PubMed
description We formulate and study a mathematical model for a honeybee colony infected with Varroa mites which describes the parallel phenomena of the spread of both the mites and the virus transmitted by them. We extend our previous model by including infected forager bees and considering model parameters as time-periodic functions. Firstly, we study the autonomous model and show the stability of equilibria. We present two simulation scenarios to study the impact of seasonality on the spread of Varroa mites and the disease they carry. Numerical studies are given to show how the parameter changes might lead to the colony's failure.
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spelling pubmed-94850422022-09-21 A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality Ibrahim, Mahmoud A. Dénes, Attila Heliyon Research Article We formulate and study a mathematical model for a honeybee colony infected with Varroa mites which describes the parallel phenomena of the spread of both the mites and the virus transmitted by them. We extend our previous model by including infected forager bees and considering model parameters as time-periodic functions. Firstly, we study the autonomous model and show the stability of equilibria. We present two simulation scenarios to study the impact of seasonality on the spread of Varroa mites and the disease they carry. Numerical studies are given to show how the parameter changes might lead to the colony's failure. Elsevier 2022-09-13 /pmc/articles/PMC9485042/ /pubmed/36148272 http://dx.doi.org/10.1016/j.heliyon.2022.e10648 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Ibrahim, Mahmoud A.
Dénes, Attila
A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title_full A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title_fullStr A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title_full_unstemmed A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title_short A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with seasonality
title_sort mathematical model for the spread of varroa mites in honeybee populations: two simulation scenarios with seasonality
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9485042/
https://www.ncbi.nlm.nih.gov/pubmed/36148272
http://dx.doi.org/10.1016/j.heliyon.2022.e10648
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