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A mathematical model for the spread of Varroa mites in honeybee populations: two simulation scenarios with

Mahmoud A Ibrahim1,2, Attila Dénes1

  • 1Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, 6720, Hungary.

Heliyon
|September 23, 2022
PubMed

Insights

This study models honeybee colonies infected with Varroa mites and the viruses they transmit. Seasonality significantly impacts mite and disease spread, potentially leading to colony collapse.

Area of Science:

  • Mathematical modeling
  • Ecology
  • Apiculture

Background:

  • Honeybee colonies face threats from Varroa mites and associated viruses.
  • Previous models did not fully account for infected forager bees or seasonal variations.

Purpose of the Study:

  • To develop and analyze a mathematical model of Varroa mite and virus transmission in honeybees.
  • To investigate the impact of seasonality on disease dynamics and colony survival.

Main Methods:

  • Formulation of a mathematical model incorporating infected forager bees.
  • Analysis of the autonomous model to determine equilibrium stability.
  • Numerical simulations to explore time-periodic parameters and seasonality effects.

Main Results:

  • The model captures parallel spread of Varroa mites and transmitted viruses.
  • Seasonal variations influence the dynamics of mite and disease transmission.
  • Parameter changes can predict potential colony failure.

Conclusions:

  • Mathematical modeling provides insights into honeybee colony health under Varroa mite infestation.
  • Seasonality is a critical factor in the spread of Varroa-transmitted diseases.
  • The model can inform strategies to mitigate colony losses.
Keywords:
Colony failureHoney beesNon-autonomous modelPeriodic parametersSeasonalityVarroa mite

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