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.
Original language | English |
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Pages (from-to) | 437-449 |
Number of pages | 13 |
Journal | Journal of Mathematical Biology |
Volume | 24 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jul 1986 |
Externally published | Yes |
Keywords
- Comb building
- Gain-sheet fast Fourier procedure
- Self-organization