On the weakly competitive case in a two-species chemotaxis model

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Tobias Black
  • J. Lankeit
  • M. Mizukami

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Details

OriginalspracheEnglisch
Seiten (von - bis)860-876
Seitenumfang17
FachzeitschriftIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Jahrgang81
Ausgabenummer5
PublikationsstatusVeröffentlicht - 2016

Abstract

In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady state under a smallness condition on the chemotactic strengths, which seems more natural than the condition previously known. For the proof we rely on the method of eventual comparison, which thereby is shown to be a useful tool even in the presence of chemotactic terms.

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On the weakly competitive case in a two-species chemotaxis model. / Black, Tobias; Lankeit, J.; Mizukami, M.
in: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), Jahrgang 81, Nr. 5, 2016, S. 860-876.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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