Mathematical Model of Caste Differentiation in Eusocial Insects

摘要

Self-organization of hierarchy of system has been focused in task allocation of distributed autonomous systems and network analysis. It is important to realize the mechanism of hierarchy generation for implementation to artificial systems. In order to know the principle, we try to model caste differentiations control of damp-wood termite. Damp-wood termite have multiple caste such as alate, worker and soldier. Equations of evolution are created, using both of biological dates and some assumptions obtained by mathematical analysis. As biological dates, we forces the time evolution of both juvenile hormone titer and ecdysone titer. Especially, we indicate the regulation dynamics by balances between juvenile hormone and ecdysone. In addition, the model is validated by computer simulations. In this study, we propose that juvenile hormone titer of individuals works as inhibitor bias on the mapping from genotypes to phenotypes spaces in multiple dimensions.