A mathematical model for population dynamics in honeybee colonies infested with Varroa destructor and the Acute Bee Paralysis Virus

@inproceedings{Ratti2012AMM,
  title={A mathematical model for population dynamics in honeybee colonies infested with Varroa destructor and the Acute Bee Paralysis Virus},
  author={Vardayani Ratti and Peter G Kevan and Hermann J. Eberl},
  year={2012}
}
We present a simple SIR-Ross-MacDonald like model of the infestation of a honeybee (Apis mellifera) colony by the Acute Bee Paralysis Virus (ABPV), which is transmitted by parasitic varroa mites (Varroa destructor) as vector. This is a four dimensional system of nonlinear ordinary differential equations for the dependent variables healthy and virus infected bees, number of mites in the colony overall and number of mites that carry the virus. In the autonomous case we study the model with… CONTINUE READING
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