N. V. Belotelov, A. I. Lobanov, “Population models with non-linear diffusion”, Mat. Model., 9:12 (1997), 43

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Matematicheskoe modelirovanie, 1997, Volume 9, Number 12, Pages 43–56 (Mi mm1486)

This article is cited in 10 scientific papers (total in 10 papers)

Mathematical models and computer experiment

Population models with non-linear diffusion

N. V. Belotelov^a, A. I. Lobanov^b

^a The Centre on the Problems of Ecology and Productivity of Forests
^b Moscow Institute of Physics and Technology

Full-text PDF (1389 kB) Citations (10)

Abstract: Population reaction-diffusion models with nonlinear diffusion are considered. Two classes of the models are investigated – the models of one population and the models of competing populations. In the first class several types of kinetics are considered. The dynamics of the population outbreak is studied for different kinetics. Outbreak spreading front has finite supporter in every time for each case. This phenomenon principally differs from Kolmogorov's waves. In the second class of the models the possibility of appearing stationary spatially nonhomogeneuos solutions is analyzed. Amplification of the Gause principle for spatially distributed competing systems is formulated.

Received: 29.04.1997

Bibliographic databases:

Language: Russian

Citation: N. V. Belotelov, A. I. Lobanov, “Population models with non-linear diffusion”, Mat. Model., 9:12 (1997), 43–56

Citation in format AMSBIB

\Bibitem{BelLob97}

\by N.~V.~Belotelov, A.~I.~Lobanov

\paper Population models with non-linear diffusion

\jour Mat. Model.

\yr 1997

\vol 9

\issue 12

\pages 43--56

\mathnet{http://mi.mathnet.ru/mm1486}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1609633}

\zmath{https://zbmath.org/?q=an:0993.92501}

Linking options:

https://www.mathnet.ru/eng/mm1486

https://www.mathnet.ru/eng/mm/v9/i12/p43

This publication is cited in the following 10 articles:

M. A. Davydova, G. D. Rublev, “Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data”, Theoret. and Math. Phys., 220:2 (2024), 1262–1281
D. Kha, V. G. Tsibulin, “Uravneniya diffuzii-reaktsii-advektsii dlya sistemy «khischnik-zhertva» v geterogennoi srede”, Kompyuternye issledovaniya i modelirovanie, 13:6 (2021), 1161–1176
A. V. Epifanov, V. G. Tsibulin, “O dinamike kosimmetrichnykh sistem khischnikov i zhertv”, Kompyuternye issledovaniya i modelirovanie, 9:5 (2017), 799–813
L. E. Alpeeva, V. G. Tsibulin, “Kosimmetrichnyi podkhod k analizu formirovaniya prostranstvennykh populyatsionnykh struktur s uchetom taksisa”, Kompyuternye issledovaniya i modelirovanie, 8:4 (2016), 661–671
Usenko V.A., Lobanov A.I., “Metod potokovoi relaksatsii dlya resheniya kvazilineinykh uravnenii parabolicheskogo tipa”, Kompyuternye issledovaniya i modelirovanie, 3:1 (2011), 47–53
Budyanskii A.V., Tsibulin V.G., “Modelirovanie prostranstvenno-vremennoi migratsii blizkorodstvennykh populyatsii”, Kompyuternye issledovaniya i modelirovanie, 3:4 (2011), 477–488
V. A. Usenko, A. I. Lobanov, “Metod potokovoi relaksatsii dlya resheniya kvazilineinykh uravnenii parabolicheskogo tipa”, Kompyuternye issledovaniya i modelirovanie, 3:1 (2011), 47–53
A. V. Budyanskii, V. G. Tsibulin, “Modelirovanie prostranstvenno-vremennoi migratsii blizkorodstvennykh populyatsii”, Kompyuternye issledovaniya i modelirovanie, 3:4 (2011), 477–488
A. V. Shmidt, “Analysis of reaction-diffusion systems by the method of linear determining equations”, Comput. Math. Math. Phys., 47:2 (2007), 249–261
K. A. Volosov, “A Property of the Ansatz of Hirota's Method for Quasilinear Parabolic Equations”, Math. Notes, 71:3 (2002), 339–354

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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