Probabilistic representations of weak solutions to the Cauchy problem are constructed for systems of nonlinear parabolic equations arising in chemotaxis. These equations include as a special case the Keller–Segel model. Bibliography: 12 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 474, 2018, pp. 7–27.
Translated by the author.
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Belopolskaya, Y.I. Stochastic Models of Chemotaxis Processes. J Math Sci 251, 1–14 (2020). https://doi.org/10.1007/s10958-020-05059-7
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DOI: https://doi.org/10.1007/s10958-020-05059-7