Review on mathematical modeling of honeybee population dynamics

J Chen, G DeGrandi-Hoffman, V Ratti… - Mathematical Biosciences …, 2021 - par.nsf.gov
Honeybees have an irreplaceable position in agricultural production and the stabilization of
natural ecosystems. Unfortunately, honeybee populations have been declining globally …

How stressors disrupt honey bee biological traits and overwintering mechanisms

É Minaud, F Rebaudo, P Davidson, F Hat**a, A Hotho… - Heliyon, 2024 - cell.com
High winter mortality of honey bees (Apis mellifera) has been observed in temperate regions
over the past 30 years. Several biotic and abiotic stressors associated with winter colony …

Disease dynamics of honeybees with Varroa destructor as parasite and virus vector

Y Kang, K Blanco, T Davis, Y Wang… - Mathematical …, 2016 - Elsevier
The worldwide decline in honeybee colonies during the past 50 years has often been linked
to the spread of the parasitic mite Varroa destructor and its interaction with certain honeybee …

How hives collapse: Allee effects, ecological resilience, and the honey bee

B Dennis, WP Kemp - PloS one, 2016 - journals.plos.org
We construct a mathematical model to quantify the loss of resilience in collapsing honey bee
colonies due to the presence of a strong Allee effect. In the model, recruitment and mortality …

Population dynamics of Varroa mite and honeybee: Effects of parasitism with age structure and seasonality

K Messan, MR Messan, J Chen… - Ecological …, 2021 - Elsevier
Honeybees play an important role in the production of many agricultural crops and in
sustaining plant diversity in undisturbed ecosystems. The rapid decline of honeybee …

Behaviours of honeybees can reduce the probability of deformed wing virus outbreaks in Varroa destructor-infested colonies

F Mugabi, KJ Duffy, F van Langevelde - Modeling Earth Systems and …, 2024 - Springer
Honeybees are important plant pollinators. Unfortunately, there is a growing increase in the
loss of honeybee colonies, and this is having a serious economic impact on crop farmers. A …

A Mathematical Model of the Honeybee–Varroa destructor–Acute Bee Paralysis Virus System with Seasonal Effects

V Ratti, PG Kevan, HJ Eberl - Bulletin of mathematical biology, 2015 - Springer
A mathematical model for the honeybee–varroa mite–ABPV system is proposed in terms of
four differential equations for the: infected and uninfected bees in the colony, number of …

A model of infection in honeybee colonies with social immunity

T Laomettachit, M Liangruksa, T Termsaithong… - PloS one, 2021 - journals.plos.org
Honeybees (Apis mellifera) play a significant role in the pollination of various food crops and
plants. In the past decades, honeybee management has been challenged with increased …

Flow currents and ventilation in Langstroth beehives due to brood thermoregulation efforts of honeybees

R Sudarsan, C Thompson, PG Kevan… - Journal of theoretical …, 2012 - Elsevier
Beekeepers universally agree that ensuring sufficient ventilation is vital for sustaining a
thriving, healthy honeybee colony. Despite this fact, surprisingly little is known about the …

Age structure is critical to the population dynamics and survival of honeybee colonies

MI Betti, LM Wahl, M Zamir - Royal Society Open Science, 2016 - royalsocietypublishing.org
Age structure is an important feature of the division of labour within honeybee colonies, but
its effects on colony dynamics have rarely been explored. We present a model of a …