Contents
Abstract
Large-time behavior in a two-species chemotaxis-competition system with nonlocal nonlinear growth terms This paper deals with a two-species chemotaxis-competition system in a setting that not only accounts for a class of nonlinear variants of the chemotactic cross-diffusion processes, but also involves an external source describing a superlinear growth effect under nonlocal resource consumption.Apart from that, the considered chemoattractant is assumed to be produced according to a fairly general power law.We first confirm the global existence and boundedness of classical solutions to an associated Neumann initial-boundary value problem under some appropriate parameter conditions.Moreover, it is shown that these global bounded solutions converge to the spatially homogeneous coexistence state as time tends to infinity.
Publication details
- Journal / source
- Mathematische Nachrichten
- Volume
- 299
- Issue
- 1
- Pages
- 1–4
- Publication date
- 1 January 2026
- Language
- EN