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Published online by Cambridge University Press: 14 July 2016
A result for the propagation of chaos is obtained for a class of pure jump particle systems of two species with mean field interaction. This result leads to the corresponding result for particle systems with one species and the argument used is valid for particle systems with more than two species. The model is motivated by the study of the phenomenon of self-organization in biology, chemistry and physics, and the technical difficulty is the unboundedness of the jump rates.
Research supported by the SERB grant at McMaster University and by the Natural Sciences and Engineering Research Council of Canada.