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.
A particle system approach to aggregation phenomena / Flandoli, F.; Leocata, Marta. - In: JOURNAL OF APPLIED PROBABILITY. - ISSN 0021-9002. - 56:1(2019), pp. 282-306. [10.1017/jpr.2019.18]
A particle system approach to aggregation phenomena
Leocata M.
2019
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.
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