A mathematical model of the honeybee -- \textit{Varroa destructor} -- acute bee paralysis virus system with seasonal effects

DOI10.1007/s11538-015-0093-5zbMath1336.92084OpenAlexW1723569789WikidataQ40993315 ScholiaQ40993315MaRDI QIDQ901921

Vardayani Ratti, Peter G. Kevan, Hermann J. Eberl

Publication date: 6 January 2016

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-015-0093-5

zbMATH Keywords

mathematical modelhoneybeesseasonal effects\textit{Varroa destructor}acute bee paralysis virusvarroacides

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (14)

Disease dynamics of honeybees with Varroa destructor as parasite and virus vector ⋮ How to model honeybee population dynamics: stage structure and seasonality ⋮ Mathematical modelling of between hive transmission of nosemosis by drifting ⋮ Stress-mediated Allee effects can cause the sudden collapse of honey bee colonies ⋮ A mathematical model of forager loss in honeybee colonies infested with \textit{Varroa destructor} and the acute bee paralysis virus ⋮ Reproduction number and asymptotic stability for the dynamics of a honey bee colony with continuous age structure ⋮ Impacts of seasonality and parasitism on honey bee population dynamics ⋮ A Discrete-Continuous Modeling Framework to Study the Role of Swarming in a Honeybee-Varroa destrutor-Virus System ⋮ Two routes of transmission for \textit{Nosema} infections in a honeybee population model with polyethism and time-periodic parameters can lead to drastically different qualitative model behavior ⋮ A mathematical model for the interplay of Nosema infection and forager losses in honey bee colonies ⋮ Global dynamics of a mathematical model for a honeybee colony infested by virus-carrying \textit{Varroa} mites ⋮ An environmental model of honey bee colony collapse due to pesticide contamination ⋮ The effect of covert and overt infections on disease dynamics in honey-bee colonies ⋮ Review on mathematical modeling of honeybee population dynamics

Uses Software

• pchip

Cites Work

• Flow currents and ventilation in Langstroth beehives due to brood thermoregulation efforts of honeybees
• Modeling colony collapse disorder in honeybees as a contagion
• Monotone Piecewise Cubic Interpolation
• Unnamed Item
• Unnamed Item

This page was built for publication: A mathematical model of the honeybee -- \textit{Varroa destructor} -- acute bee paralysis virus system with seasonal effects