Extinction and Asymptotic Behavior of Solutions to a System Arising in Biology

Extinction and Asymptotic Behavior of Solutions to a System Arising in Biology

A generalization to n species of a system by L. Bass, A. J. Bracken, K. Holmaker and B. Jefferies [J. Austral. Math. Soc. (Ser. B) 29 (1987) 156--194], which describes the self-organization of liver zones in a liver capillary in the case of two species, is proposed. We establish some hypotheses on t...

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 2004-01, Vol.23 (1), p.17-38
Hauptverfasser: Kouche, M, Tatar, Nasser-edine
Format: Artikel
Sprache:eng
Schlagworte:
Integral equations
Integral transforms, operational calculus
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Zusammenfassung:A generalization to n species of a system by L. Bass, A. J. Bracken, K. Holmaker and B. Jefferies [J. Austral. Math. Soc. (Ser. B) 29 (1987) 156--194], which describes the self-organization of liver zones in a liver capillary in the case of two species, is proposed. We establish some hypotheses on the coefficient parameters of the system under which a part of the species is driven to extinction while the remaining ones are attracted by the non-trivial stationary solution.
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/1186