Abstract
The current paper is concerned with the forced waves to nonlocal dispersal KPP equations with shifting habitats. Without asking the sign of intrinsic growth rate at negative infinity, we derive the conditions for the existence of multi-type forced waves with different profiles corresponding to different shifting speeds. Our results show that (i) there exist not only monotone but also non-monotone forced waves, and (ii) even at the same wave speed as the shifting speed of habitats, more than one forced waves can be found.
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