Global dynamics of a mathematical model for a honeybee colony infested by virus-carrying \textit{Varroa} mites

DOI10.1007/s12190-019-01250-5zbMath1429.34051OpenAlexW2935623571WikidataQ128138585 ScholiaQ128138585MaRDI QIDQ2008060

Attila Dénes, Mahmoud A. Ibrahim

Publication date: 22 November 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01250-5

zbMATH Keywords

global stabilitypersistenceepidemic modelhoneybees\textit{Varroa} infestation

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

A spatial model of honey bee colony collapse due to pesticide contamination of foraging bees ⋮ Spatio-temporal solutions of a diffusive directed dynamics model with harvesting ⋮ The effect of covert and overt infections on disease dynamics in honey-bee colonies ⋮ Review on mathematical modeling of honeybee population dynamics

Cites Work

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• Disease dynamics of honeybees with Varroa destructor as parasite and virus vector
• A mathematical model of the honeybee -- \textit{Varroa destructor} -- acute bee paralysis virus system with seasonal effects
• A mathematical model of forager loss in honeybee colonies infested with \textit{Varroa destructor} and the acute bee paralysis virus
• Global dynamics for the spread of ectoparasite-borne diseases
• Dynamics of an Infectious Disease Including Ectoparasites, Rodents and Humans
• Mathematical analysis of a model for ectoparasite‐borne diseases
• Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases

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