For a homogenized predator-prey taxis model, a short-wavelength traveling wave stabilizes or destabilizes homogeneous quasi-equilibria depending on whether the wave speed exceeds a threshold, with exponentially strong amplitude effects.
Soliton-like phenomena in one- dimensional cross-diffusion systems: a predator–prey pursuit and evasion example
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Drift, stabilizing and destabilizing for a Patlak-Keller-Segel system with the short-wavelength external signal
For a homogenized predator-prey taxis model, a short-wavelength traveling wave stabilizes or destabilizes homogeneous quasi-equilibria depending on whether the wave speed exceeds a threshold, with exponentially strong amplitude effects.