W.A. MANGUM
A summary of the derivation of two coupled nonlinear difference equations describing varroa mite parasitism of honey bees is presented. Assuming constant parameters, four cases are constructed by letting reproduction be present or absent and by letting worker bees with the ability to remove their parasites be present or absent. The linear stability analysis of these cases is presented, and, where possible, the biological interpretation of the mathematics is also included. For each case, the effect of varroa mite immigration on the population dynamics is also investigated.