Abstract
We analyze spatial spreading in a population model with logistic growth and chemorepulsion. In a parameter range of short-range chemo-diffusion, we use geometric singular perturbation theory and functional-analytic farfield-core decompositions to identify spreading speeds with marginally stable front profiles. In particular, we identify a sharp boundary between between linearly determined, pulled propagation, and nonlinearly determined, pushed propagation, induced by the chemorepulsion. The results are motivated by recent work on singular limits in this regime using PDE methods (Griette et al 2023 J. Funct. Anal. 285 110115).
| Original language | English (US) |
|---|---|
| Article number | 025017 |
| Journal | Nonlinearity |
| Volume | 38 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 28 2025 |
Bibliographical note
Publisher Copyright:© 2025 IOP Publishing Ltd & London Mathematical Society. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
Keywords
- 35K57, 35B32, 35B35
- geometric singular perturbation
- marginal stability
- pulled and pushed fronts
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