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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2022
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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. |
format | Online Article Text |
id | pubmed-9485042 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
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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