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Izvestiya: Mathematics, 1998, Volume 62, Issue 5, Pages 985–1012
DOI: https://doi.org/10.1070/im1998v062n05ABEH000213 (Mi im213) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The diffusion-buffer phenomenon in a mathematical model of biology

A. Yu. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University
b M. V. Lomonosov Moscow State University
English version PDF (498 kB) Citations (9)
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DOI: https://doi.org/10.1070/im1998v062n05ABEH000213
Abstract: We consider the Neumann problem for partial differential-difference equations with diffusion that models a predator-prey problem. Using infinite-dimensional normalization, we establish the diffusion-buffer phenomenon, which means that the system can have any number of stable spatially inhomogeneous cycles if its parameters are properly chosen.
Received: 04.11.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 5, Pages 135–164
DOI: https://doi.org/10.4213/im213
Bibliographic databases:
MSC: 35K50, 35B25, 35B10, 35C20
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, “The diffusion-buffer phenomenon in a mathematical model of biology”, Izv. RAN. Ser. Mat., 62:5 (1998), 135–164; Izv. Math., 62:5 (1998), 985–1012
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v62/i5/p135
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:265
    English version PDF:14
    References:76
    First page:3
     
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