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A particle system approach to aggregation phenomena

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Abstract Inspired by a PDE–ODE system of aggregation developed in the biomathematical literature, we investigate an interacting particle system representing aggregation at the level of individuals. We prove that the… Click to show full abstract

Abstract Inspired by a PDE–ODE system of aggregation developed in the biomathematical literature, we investigate an interacting particle system representing aggregation at the level of individuals. We prove that the empirical density of the individual converges to the solution of the PDE–ODE system.

Keywords: aggregation; system; approach aggregation; system approach; particle system

Journal Title: Journal of Applied Probability
Year Published: 2019

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