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Dynamics and family of equilibria in a population kinetics model with cosymmetry
Author(s) -
Kovaleva Ekaterina S.,
Tsybulin Vyacheslav G.,
Frischmuth Kurt
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700230
Subject(s) - property (philosophy) , stability (learning theory) , nonlinear system , kinetics , population , dynamics (music) , variable (mathematics) , statistical physics , mathematics , population model , order (exchange) , physics , mathematical analysis , economics , classical mechanics , computer science , demography , philosophy , epistemology , quantum mechanics , finance , machine learning , sociology , acoustics
We study dynamics in the population kinetics model which is given by the system of nonlinear parabolic equations with cosymmetry property. The cosymmetry implies the emergence of continuous families of steady states with variable spectrum of stability. Different scenarios of evolution of families of equilibria and nonstationary regimes are analyzed numerically by a finite‐difference scheme which respects the cosymmetry property. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)