Summary
We consider systems of “moderately” 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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This work has been supported by the Deutsche Forschungsgemeinschaft
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Oelschläger, K. On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes. Probab. Th. Rel. Fields 82, 565–586 (1989). https://doi.org/10.1007/BF00341284
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DOI: https://doi.org/10.1007/BF00341284