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In nature self-organized systems as flock of birds, school of fishes or herdof sheeps have to deal with the presence of external agents such as predatorsor leaders which modify their internal dynamic. Such situations take intoaccount a large number of individuals with their own social behavior whichinteract with a few number of other individuals acting as external point sourceforces. Starting from the microscopic description we derive the kinetic modelthrough a mean-field limit and finally the macroscopic system through asuitable hydrodynamic limit.

Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics