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We consider a class of stochastic processes modeling binary interactions inan N-particle system. Examples of such systems can be found in the modeling ofbiological swarms. They lead to the definition of a class of master equationsthat we call pair interaction driven master equations. We prove a propagationof chaos result for this class of master equations which generalizes Mark Kac'swell know result for the Kac model in kinetic theory. We use this result tostudy kinetic limits for two biological swarm models. We show that propagationof chaos may be lost at large times and we exhibit an example where theinvariant density is not chaotic.

Kinetic limits for pair-interaction driven master equations and biological swarm models