Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Gurevich, Pavela; b | Rachinskii, Dmitriic; *
Affiliations: [a] Institute for Mathematics, Free University of Berlin, Berlin, Germany | [b] Peoples’ Friendship University of Russia, Moscow, Russia. E-mail: gurevich@math.fu-berlin.de | [c] Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX, USA. E-mail: dmitry.rachinskiy@utdallas.edu
Correspondence: [*] Corresponding author: Dmitrii Rachinskii, Department of Mathematical Sciences, The University of Texas at Dallas, 800 West Campbell Road, Richardson, TX 75080-3021, USA. Tel.: +1 972 883 4401; Fax: +1 972 883 6622; E-mail: dmitry.rachinskiy@utdallas.edu.
Abstract: We consider a reaction–diffusion system including discontinuous hysteretic relay operators in reaction terms. This system is motivated by an epigenetic model that describes the evolution of a population of organisms which can switch their phenotype in response to changes of the state of the environment. The model exhibits formation of patterns in the space of distributions of the phenotypes over the range of admissible switching strategies. We propose asymptotic formulas for the pattern and the process of its formation.
Keywords: reaction–diffusion equations, patterns, phenotype switching, hysteresis, free boundary, asymptotic limit of slow diffusion
DOI: 10.3233/ASY-151329
Journal: Asymptotic Analysis, vol. 96, no. 1, pp. 1-22, 2016
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl