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Extinction and asymptotic behavior of solutions to a system arising in biology

  • M. Kouche*
  • , N. E. Tatar
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)17-38
Number of pages22
JournalZeitschrift fur Analysis und ihre Anwendung
Volume23
Issue number1
DOIs
StatePublished - 2004

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 15 - Life on Land
    SDG 15 Life on Land

Keywords

  • Coexistence
  • Extinction
  • Global asymptotic stability
  • Integro-differential system
  • Logistic equation
  • Lyapunov function
  • Persistence

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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