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Tello del Castillo, José Ignacio and Negreanu, Mihaela (2014). Asymptotic stability of a mathematical model of cell population. "Journal of Mathematical Analysis and Applications", v. 415 (n. 2); pp. 963-971. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2014.02.032.
Title: | Asymptotic stability of a mathematical model of cell population |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Journal of Mathematical Analysis and Applications |
Date: | 2014 |
ISSN: | 0022-247X |
Volume: | 415 |
Subjects: | |
Freetext Keywords: | Free boundary problem; Stability; Comparison method; Asymptotic behavior |
Faculty: | E.U. de Informática (UPM) |
Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We consider a simplified system of a growing colony of cells described as a free boundary problem. The system consists of two hyperbolic equations of first order coupled to an ODE to describe the behavior of the boundary. The system for cell populations includes non-local terms of integral type in the coefficients. By introducing a comparison with solutions of an ODE's system, we show that there exists a unique homogeneous steady state which is globally asymptotically stable for a range of parameters under the assumption of radially symmetric initial data.
Type | Code | Acronym | Leader | Title |
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Government of Spain | MTM2009-13655 | Unspecified | Unspecified | Unspecified |
Item ID: | 33206 |
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DC Identifier: | http://oa.upm.es/33206/ |
OAI Identifier: | oai:oa.upm.es:33206 |
DOI: | 10.1016/j.jmaa.2014.02.032 |
Official URL: | http://www.sciencedirect.com/science/article/pii/S0022247X14001619 |
Deposited by: | Memoria Investigacion |
Deposited on: | 23 Apr 2015 19:02 |
Last Modified: | 14 May 2019 12:28 |