Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach

In this research, a new compartment model of honey bee population is developed to study the effects of gradual change of food availability and environmental degradation on bee population growth and development. The model is proved to be mathematical well posed and a non-trivial equilibrium point is...

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Autores principales:	Kabiru Lere Najib, Adamu Shitu Hassan
Formato:	article
Lenguaje:	EN
Publicado:	Nigerian Society of Physical Sciences 2021
Materias:	Honey Bees Colony Collapse Disorder degradation Environment Physics QC1-999
Acceso en línea:	https://doaj.org/article/a2f92196a9fb403ea9a5c987e587a898
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spelling	oai:doaj.org-article:a2f92196a9fb403ea9a5c987e587a8982021-11-30T12:19:11ZFood and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach10.46481/jnsps.2021.2832714-28172714-4704https://doaj.org/article/a2f92196a9fb403ea9a5c987e587a8982021-11-01T00:00:00Zhttps://journal.nsps.org.ng/index.php/jnsps/article/view/283https://doaj.org/toc/2714-2817https://doaj.org/toc/2714-4704 In this research, a new compartment model of honey bee population is developed to study the effects of gradual change of food availability and environmental degradation on bee population growth and development. The model is proved to be mathematical well posed and a non-trivial equilibrium point is shown to exist and asymptotically stable under certain conditions. The model predicts a critical threshold environmental degradation rate above which the population size of bees decline and subsequently collapse. Low environmental degradation and high food availability leads to stable bee population. Global sensitivity analysis is conducted to determine the most sensitive parameters of the model that can lead to colony collapse disorder. Numerical simulations are conducted to illustrate all the results. Kabiru Lere NajibAdamu Shitu HassanNigerian Society of Physical SciencesarticleHoney BeesColony Collapse DisorderdegradationEnvironmentPhysicsQC1-999ENJournal of Nigerian Society of Physical Sciences, Vol 3, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Honey Bees Colony Collapse Disorder degradation Environment Physics QC1-999
spellingShingle	Honey Bees Colony Collapse Disorder degradation Environment Physics QC1-999 Kabiru Lere Najib Adamu Shitu Hassan Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
description	In this research, a new compartment model of honey bee population is developed to study the effects of gradual change of food availability and environmental degradation on bee population growth and development. The model is proved to be mathematical well posed and a non-trivial equilibrium point is shown to exist and asymptotically stable under certain conditions. The model predicts a critical threshold environmental degradation rate above which the population size of bees decline and subsequently collapse. Low environmental degradation and high food availability leads to stable bee population. Global sensitivity analysis is conducted to determine the most sensitive parameters of the model that can lead to colony collapse disorder. Numerical simulations are conducted to illustrate all the results.
format	article
author	Kabiru Lere Najib Adamu Shitu Hassan
author_facet	Kabiru Lere Najib Adamu Shitu Hassan
author_sort	Kabiru Lere Najib
title	Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
title_short	Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
title_full	Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
title_fullStr	Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
title_full_unstemmed	Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach
title_sort	food and environmental degradation as causative agents of honey bee colonies decline: mathematical model approach
publisher	Nigerian Society of Physical Sciences
publishDate	2021
url	https://doaj.org/article/a2f92196a9fb403ea9a5c987e587a898
work_keys_str_mv	AT kabirulerenajib foodandenvironmentaldegradationascausativeagentsofhoneybeecoloniesdeclinemathematicalmodelapproach AT adamushituhassan foodandenvironmentaldegradationascausativeagentsofhoneybeecoloniesdeclinemathematicalmodelapproach
_version_	1718406641002479616

Food and environmental degradation as causative agents of honey bee colonies decline: Mathematical model approach

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