The Impact of Robin Boundary Condition on a Chemotaxis–Consumption–Growth Model
Abstract
ABSTRACT We investigate a parabolic–elliptic chemotaxis–consumption–growth system with a Robin boundary condition imposed on the signal. First, we analyze the steady‐state problem, then we show that the solutions of the system are global and uniformly bounded in time in any space dimension. Next, under smallness assumption on the boundary data, we show that the solutions converge to non‐constant steady states as time tends to infinity.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Mathematical and Theoretical Epidemiology and Ecology Models
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Mathematische Nachrichten
- Volume
- 299
- Issue
- 9
- Pages
- 2422–2435
- Publication date
- 10 July 2026
- Language
- EN