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We consider two models of biological swarm behavior. In these models, pairsof particles interact to adjust their velocities one to each other. In thefirst process, called 'BDG', they join their average velocity up to some noise.In the second process, called 'CL', one of the two particles tries to join theother one's velocity. This paper establishes the master equations and BBGKYhierarchies of these two processes. It investigates the infinite particle limitof the hierarchies at large time-scale. It shows that the resulting kinetichierarchy for the CL process does not satisfy propagation of chaos. Numericalsimulations indicate that the BDG process has similar behavior to the CLprocess.

Kinetic hierarchy and propagation of chaos in biological swarm models