An individual-based model of emergent properties in ant colony dynamics
Mathematical Biosciences Institute, The Ohio State University
(March 28, 2013 10:20 AM - 11:15 AM)
We simulate cellular automaton with a set of individual-based rules to reproduce spatiotem- poral dynamics arising from local interactions of ants in colony. Ants deposit diffusible chemical pheromone that modifies local environment for succeeding passages. Individual ants, then, re- spond to conspecific/heterospecific pheromone gradients, for example, by altering their direction of motion, or switching tasks. We describe ant’s movement by reinforced random walk, and study patterns (foraging trails, territoriality, etc.) emerging from ‘microscopic’ interactions of individual ants. We derive macroscopic PDEs by considering continuum limits of the mechanistic microscopic dynamics, and compare the two models.