Review on mathematical modeling of honeybee population dynamics

Honeybees have an irreplaceable position in agricultural production and the stabilization of natural ecosystems. Unfortunately, honeybee populations have been declining globally. Parasites, diseases, poor nutrition, pesticides, and climate changes contribute greatly to the global crisis of honeybee...

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Autores principales: Jun Chen, Gloria DeGrandi-Hoffman, Vardayani Ratti, Yun Kang
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Publicado: AIMS Press 2021
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Acceso en línea:https://doaj.org/article/f0cfb72a7bfa4db39945d9103b524b89
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spelling oai:doaj.org-article:f0cfb72a7bfa4db39945d9103b524b892021-11-29T06:28:53ZReview on mathematical modeling of honeybee population dynamics10.3934/mbe.20214711551-0018https://doaj.org/article/f0cfb72a7bfa4db39945d9103b524b892021-11-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021471?viewType=HTMLhttps://doaj.org/toc/1551-0018Honeybees have an irreplaceable position in agricultural production and the stabilization of natural ecosystems. Unfortunately, honeybee populations have been declining globally. Parasites, diseases, poor nutrition, pesticides, and climate changes contribute greatly to the global crisis of honeybee colony losses. Mathematical models have been used to provide useful insights on potential factors and important processes for improving the survival rate of colonies. In this review, we present various mathematical tractable models from different aspects: 1) simple bee-only models with features such as age segmentation, food collection, and nutrient absorption; 2) models of bees with other species such as parasites and/or pathogens; and 3) models of bees affected by pesticide exposure. We aim to review those mathematical models to emphasize the power of mathematical modeling in helping us understand honeybee population dynamics and its related ecological communities. We also provide a review of computational models such as VARROAPOP and BEEHAVE that describe the bee population dynamics in environments that include factors such as temperature, rainfall, light, distance and quality of food, and their effects on colony growth and survival. In addition, we propose a future outlook on important directions regarding mathematical modeling of honeybees. We particularly encourage collaborations between mathematicians and biologists so that mathematical models could be more useful through validation with experimental data.Jun ChenGloria DeGrandi-HoffmanVardayani RattiYun KangAIMS Pressarticlehoneybeeparasitespathogenspesticidesdynamical systemsseasonalitymathematical modelsBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9606-9650 (2021)
institution DOAJ
collection DOAJ
language EN
topic honeybee
parasites
pathogens
pesticides
dynamical systems
seasonality
mathematical models
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
spellingShingle honeybee
parasites
pathogens
pesticides
dynamical systems
seasonality
mathematical models
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
Jun Chen
Gloria DeGrandi-Hoffman
Vardayani Ratti
Yun Kang
Review on mathematical modeling of honeybee population dynamics
description Honeybees have an irreplaceable position in agricultural production and the stabilization of natural ecosystems. Unfortunately, honeybee populations have been declining globally. Parasites, diseases, poor nutrition, pesticides, and climate changes contribute greatly to the global crisis of honeybee colony losses. Mathematical models have been used to provide useful insights on potential factors and important processes for improving the survival rate of colonies. In this review, we present various mathematical tractable models from different aspects: 1) simple bee-only models with features such as age segmentation, food collection, and nutrient absorption; 2) models of bees with other species such as parasites and/or pathogens; and 3) models of bees affected by pesticide exposure. We aim to review those mathematical models to emphasize the power of mathematical modeling in helping us understand honeybee population dynamics and its related ecological communities. We also provide a review of computational models such as VARROAPOP and BEEHAVE that describe the bee population dynamics in environments that include factors such as temperature, rainfall, light, distance and quality of food, and their effects on colony growth and survival. In addition, we propose a future outlook on important directions regarding mathematical modeling of honeybees. We particularly encourage collaborations between mathematicians and biologists so that mathematical models could be more useful through validation with experimental data.
format article
author Jun Chen
Gloria DeGrandi-Hoffman
Vardayani Ratti
Yun Kang
author_facet Jun Chen
Gloria DeGrandi-Hoffman
Vardayani Ratti
Yun Kang
author_sort Jun Chen
title Review on mathematical modeling of honeybee population dynamics
title_short Review on mathematical modeling of honeybee population dynamics
title_full Review on mathematical modeling of honeybee population dynamics
title_fullStr Review on mathematical modeling of honeybee population dynamics
title_full_unstemmed Review on mathematical modeling of honeybee population dynamics
title_sort review on mathematical modeling of honeybee population dynamics
publisher AIMS Press
publishDate 2021
url https://doaj.org/article/f0cfb72a7bfa4db39945d9103b524b89
work_keys_str_mv AT junchen reviewonmathematicalmodelingofhoneybeepopulationdynamics
AT gloriadegrandihoffman reviewonmathematicalmodelingofhoneybeepopulationdynamics
AT vardayaniratti reviewonmathematicalmodelingofhoneybeepopulationdynamics
AT yunkang reviewonmathematicalmodelingofhoneybeepopulationdynamics
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