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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 101–108
DOI: https://doi.org/10.31857/S2686954324030172 (Mi danma538) 		 
MATHEMATICS

Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions

I. S. Kashchenkoa, S. A. Kaschenkoa, I. N. Maslenikovb

a P.G. Demidov Yaroslavl State University, Yaroslavl, Russian Federation
b Regional Scientific and Educational Mathematical Center, P. G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.31857/S2686954324030172
Abstract: The logistic equation with delay and diffusion and with nonclassical boundary conditions is studied. The stability of a nontrivial equilibrium state is investigated, and the resulting bifurcations are studied numerically.
Keywords: logistic equation, delay, diffusion, nonclassical boundary conditions, stability.
Funding agency Grant number
Russian Science Foundation 21-71-30011
This work was supported by the Russian Science Foundation, project no. 21-71-30011.
Presented: V. V. Kozlov
Received: 25.02.2024
Revised: 28.03.2024
Accepted: 14.05.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 275–281
DOI: https://doi.org/10.1134/S1064562424702132
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: I. S. Kashchenko, S. A. Kaschenko, I. N. Maslenikov, “Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 101–108; Dokl. Math., 109:3 (2024), 275–281
Citation in format AMSBIB
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\by I.~S.~Kashchenko, S.~A.~Kaschenko, I.~N.~Maslenikov
\paper Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 517
\pages 101--108
\mathnet{http://mi.mathnet.ru/danma538}
\crossref{https://doi.org/10.31857/S2686954324030172}
\elib{https://elibrary.ru/item.asp?id=69204697}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 275--281
\crossref{https://doi.org/10.1134/S1064562424702132}
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