Abstract
The dynamics of chains of coupled logistic equations with delay are studied using methods of local analysis. It is shown that the critical cases have infinite dimension. As the main results, special nonlinear boundary value problems of the parabolic type describing the evolution of solutions to the initial equation that slowly oscillate at the equilibrium state are constructed.
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Funding
This work was supported by the Russian Science Foundation, project no. 21-71-30011.
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Translated by I. Ruzanova
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Kashchenko, S.A. Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling. Dokl. Math. 105, 18–22 (2022). https://doi.org/10.1134/S1064562422010069
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DOI: https://doi.org/10.1134/S1064562422010069