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On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes

. Probability Theory and Related Fields, 82 (4): 565--586 (1989)

Abstract

We consider systems of ldquomoderatelyrdquo interacting particles, which are divided into a finite number of different subpopulations, and show that in the limit as the population size tends to infinity the empirical processes of the subpopulations converge to the solution of a system of reaction-diffusion equations.

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