Large densities in a competitive two-species chemotaxis system in the non-symmetric case

verfasst von: Shohei Kohatsu, Johannes Lankeit
Abstract: This paper deals with the two-species chemotaxis system with Lotka–Volterra competitive kinetics ( Formula Presented), under homogeneous Neumann boundary conditions and suitable initial conditions, where Ω ⊂ Rⁿ (n ∈ N) is a bounded domain with smooth boundary, d1, d2, d3, χ1, χ2, µ1, µ2 > 0, a1, a2 ≥ 0 and α, β, γ > 0. Under largeness conditions on χ1 and χ2, we show that for suitably regular initial data, any thresholds of the population density can be surpassed, which extends previous results of [38] to the non-symmetric case. The paper contains a well-posedness result for the hyperbolic–hyperbolic–elliptic limit system with d1 = d2 = 0.
Organisationseinheit(en): Institut für Angewandte Mathematik
Externe Organisation(en): Tokyo University of Science
Typ: Artikel
Journal: Communications on Pure and Applied Analysis
Band: 23
Seiten: 1296-1324
Anzahl der Seiten: 29
ISSN: 1534-0392
Publikationsdatum: 09.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Analysis, Angewandte Mathematik
Elektronische Version(en): https://doi.org/10.48550/arXiv.2401.17521 (Zugang: Offen)
https://doi.org/10.3934/cpaa.2024057 (Zugang: Geschlossen)