JournalszaaVol. 23, No. 1pp. 17–38

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

  • M. Kouche

    University Badji Mokhtar, Annaba, Algeria
  • Nasser-edine Tatar

    King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Extinction and Asymptotic Behavior of Solutions to a System Arising in Biology cover
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Abstract

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.

Cite this article

M. Kouche, Nasser-edine Tatar, Extinction and Asymptotic Behavior of Solutions to a System Arising in Biology. Z. Anal. Anwend. 23 (2004), no. 1, pp. 17–38

DOI 10.4171/ZAA/1186