Modeling colony collapse disorder in honeybees as a contagion
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Date
2014-12Author
Kribs, Christopher David
Mitchell, Christopher
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Honeybee pollination accounts annually for over $14 billion in United States agriculture
alone. Within the past decade there has been a mysterious mass die-off of honeybees, an
estimated 10 million beehives and sometimes as much as 90% of an apiary. There is still no
consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several
mathematical models have studied CCD by only focusing on infection dynamics. We created
a model to account for both healthy hive dynamics and hive extinction due to CCD, modeling
CCD via a transmissible infection brought to the hive by foragers. The system of three ordinary
differential equations accounts for multiple hive population behaviors including Allee effects
and colony collapse. Numerical analysis leads to critical hive sizes for multiple scenarios and
highlights the role of accelerated forager recruitment in emptying hives during colony collapse.