Boundedness and Asymptotic Stability of Solutions for Fully Parabolic Chemotaxis‐Competition System With Loop and Nonlocal Kinetics
Abstract
ABSTRACT This article deals with the following fully parabolic chemotaxis‐competition system with loop and nonlocal kinetics subject to homogeneous Neumann boundary conditions in an arbitrary smooth bounded domain , where , , with . Under the appropriate assumption of initial data regularity, it is shown that the corresponding initial‐boundary value problem admits a unique global and uniformly bounded solution under some suitable parameter conditions in any spatial dimension. Furthermore, based on some appropriate functionals, the globally asymptotic stabilization of coexistence and semi‐coexistence steady states is studied.
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Mathematical and Theoretical Epidemiology and Ecology Models
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 9
- Pages
- 8945–8968
- Publication date
- 26 January 2026
- Language
- EN