Large densities in a competitive two-species chemotaxis system in the non-symmetric case
- authored by
- 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.
- Organisation(s)
-
Institute of Applied Mathematics
- External Organisation(s)
-
Tokyo University of Science
- Type
- Article
- Journal
- Communications on Pure and Applied Analysis
- Volume
- 23
- Pages
- 1296-1324
- No. of pages
- 29
- ISSN
- 1534-0392
- Publication date
- 09.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Applied Mathematics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2401.17521 (Access:
Open)
https://doi.org/10.3934/cpaa.2024057 (Access: Closed)
