Effective ODE Zones in a Multi- Agent System

Simulations which contain a large number of agents with rules for agent-agent interactions may grow to a level of complexity where it is cumbersome to extract useful information, difficult to split or agregate parts, and taxing on computational resources. We present here an example where a coarse graining of the system, and replacement of individual interactions with ODEs describing dynamical interactions between ‘effective zones’, leads to a fast and useful simplified model of the original complex system.