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Stability of the age‐dependent system with delayed dependence of the structure
Author(s) -
Dawidowicz Antoni Leon,
Poskrobko Anna
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2887
Subject(s) - mathematics , stability (learning theory) , age structure , exponential stability , stability theory , statistical physics , work (physics) , distribution (mathematics) , population , mathematical economics , mathematical analysis , demography , thermodynamics , computer science , physics , nonlinear system , quantum mechanics , machine learning , sociology
The paper deals with the problem of the stability for a model of a population with delayed dependence of the structure. We study an equilibrium age distribution. We also give conditions under which such distribution is exponentially asymptotically stable. The work continues authors’ research which begun in 2009. Copyright © 2013 John Wiley & Sons, Ltd.