Reaction diffusion equation with non-local term arises as a mean field limit of the master equation
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Kazuhisa Ichikawa - The Institute of Medical Science, The University of Tokyo, 4-6-1 Shirokanedai Minato-ku, Tokyo, 108-8639, Japan (email)
Mahemauti Rouzimaimaiti - Division of Mathematical Science, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyamacho, Toyonakashi, 560-8531, Japan (email)
Takashi Suzuki - Japan Science and Technology Agency, CREST 5, Sanbancho, Chiyoda-ku, Tokyo, 102-0075, Japan (email)
||P. A. Egelstaff, "An Introduction to the Liquid State," Academic Press, London, 1967.
||J. D. Murray, "Mathematical Biology I: An Introduction," 3rd edition, Interdisciplinary Applied Mathematics, 17, Springer-Verlag, New York, 2001.
||A. Okubo, "Diffusion and Ecological Problems: Modern Perspectives," 2nd edition edition, Interdisciplinary Applied Mathematics, 14, Springer-Verlag, New York, 2001.
||H. G. Othmer, S. R. Dumber and W. Alt, Models of dispersal in biological systems, J. Math. Biol., 26 (1988), 263-298.
||H. G. Othmer and A. Stevens, Aggregation, blowup, and collapse: The ABCs of taxis in reinforced random walks, SIAM J. Appl. Math., 57 (1997), 1044-1081.
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