Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 207, Pages 101–106
DOI: https://doi.org/10.36535/0233-6723-2022-207-101-106 (Mi into984) 		 
On some features of diffusion logistics models

M. V. Polovinkina

Voronezh State University of Engineering Technologies
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DOI: https://doi.org/10.36535/0233-6723-2022-207-101-106
Abstract: We note that in some cases diffusion terms in an ordinary differential equations (for example, the logistic equation) can improve (weaken) sufficient conditions for the stability of a stationary solution. Examples are given.
Keywords: diffusion model, stationary state, stability.
Document Type: Article
UDC: 519.765, 51-7, 517.9
MSC: 35B35, 35Q99
Language: Russian
Citation: M. V. Polovinkina, “On some features of diffusion logistics models”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207, VINITI, Moscow, 2022, 101–106
Citation in format AMSBIB
\Bibitem{Pol22}
\by M.~V.~Polovinkina
\paper On some features of diffusion logistics models
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 207
\pages 101--106
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into984}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-101-106}
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