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Dynamics of the logistic equation with two delays

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Abstract

We study the logistic equation with two delays. When studying its nonlocal dynamics, we obtain a condition for the existence and the asymptotics of a relaxation cycle. When studying the local dynamics, we show that the behavior of solutions of the original equation is determined by the structure of solutions of special families of nonlinear boundary value problems of parabolic and degenerate-parabolic type.

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Authors and Affiliations

  1. P.G. Demidov Yaroslavl State University, Yaroslavl, Russia

    S. A. Kashchenko

  2. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia

    S. A. Kashchenko

Authors
  1. S. A. Kashchenko
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Correspondence to S. A. Kashchenko.

Additional information

Original Russian Text © S.A. Kashchenko, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 5, pp. 561–571.

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Kashchenko, S.A. Dynamics of the logistic equation with two delays. Diff Equat 52, 538–548 (2016). https://doi.org/10.1134/S0012266116050025

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  • DOI: https://doi.org/10.1134/S0012266116050025

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