| Abstract: |
| Reaction-diffusion equations taking into account non-local competition have gathered substantial interest in recent years. A major difficulty of these equations is due to the absence of a maximum principle; however, early results seemed to suggest that, despite this technical challenge, the speed of propagation was unaffected by this non-local term. That is, the front of the non-local equation moved with the same speed as that of the local analogue. We discuss a model arising naturally in ecology for which this is false. |
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