Forced waves of the Fisher-KPP equation with nonlocal anisotropic dispersal in a shifting environment
Abstract
In this paper, we investigate the existence of forced waves for an asymptotic KPP equation with anisotropic nonlocal dispersal in a shifting habitat. Without requiring the sign of intrinsic growth rate at negative infinity, we prove the existence of zero-valued forced waves at +∞ or −∞ for s in different ranges. The main method is based on the construction of suitable upper and lower solutions combined with the monotone iteration principle and Schauder's fixed point theorem. Furthermore, we investigate the asymptotic behavior of forced waves via contracting rectangles. Finally, to illustrate our results, we consider forced waves in three classical models.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Nonlinear Photonic Systems
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Applicable Analysis
- Volume
- 105
- Issue
- 11
- Pages
- 2365–2386
- Publication date
- 9 January 2026
- Language
- EN