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We consider a model of individual clustering with two specific reproductionrates and small diffusion parameter in one space dimension. It consists of adrift-diffusion equation for the population density coupled to an ellipticequation for the velocity of individuals. We prove the convergence (in suitabletopologies) of the solution of the problem to the unique solution of the limittransport problem, as the diffusion coefficient tends to zero.

A model of individual clustering with vanishing diffusion