Mathematical model of honeycomb construction Academic Article uri icon

abstract

  • We developed a mathematical model and an algorithm for numerical treatment of a model of honeycomb construction in a beehive. The model contains essential features of the bee-bee and bee-wax interactions, and in a qualitative way captures the dynamics of parallel comb construction. The construction is represented by a set of dynamical coupled partial differential equations for the density of bees situated on the hive ceiling, and the quantity of wax distributed by the bees. A spectral algorithm is invented for treatment of these equations, based on a modified thin-sheet gain scheme and a fast Fourier transform technique. © 1986 Springer-Verlag.

author list (cited authors)

  • Belić, M. R., Škarka, V., Deneubourg, J. L., & Lax, M.

citation count

  • 27

publication date

  • July 1986