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

Mahiéddine Kouche | Zendy; Nasser-edine Tatar | Zendy

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

Author(s) -

Mahiéddine Kouche,

Nasser-edine Tatar

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1186

Subject(s) - extinction (optical mineralogy) , mathematics , statistical physics , biology , calculus (dental) , physics , paleontology , medicine , dentistry

A generalization to n species of a system by Bass et al. (cf. [4]), 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.

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