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On a Mathematical Model of Biological Self-Organization

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Abstract

A system of two generalized Hutchinson’s equations coupled by linear diffusion terms is considered. It is established that for an appropriate choice of parameters, the system has a stable relaxation cycle whose components turn into each other under a certain phase shift. A number of additional properties of this cycle are presented that allow one to interpret it as a self-organization mode.

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Authors and Affiliations

  1. P. G. Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150003, Russia

    A. Yu. Kolesov

  2. Moscow State University, Moscow, 119991, Russia

    N. Kh. Rozov & V. A. Sadovnichii

Authors
  1. A. Yu. Kolesov
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  2. N. Kh. Rozov
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  3. V. A. Sadovnichii
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Corresponding authors

Correspondence to A. Yu. Kolesov, N. Kh. Rozov or V. A. Sadovnichii.

Additional information

Russian Text © The Author(s), 2019, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Vol. 304, pp. 174–204.

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Kolesov, A.Y., Rozov, N.K. & Sadovnichii, V.A. On a Mathematical Model of Biological Self-Organization. Proc. Steklov Inst. Math. 304, 160–189 (2019). https://doi.org/10.1134/S0081543819010127

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  • DOI: https://doi.org/10.1134/S0081543819010127

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