Tiny admissible perturbations of the top-hat kernel leave the 1D nonlocal Fisher-KPP dynamics regularly perturbed when D=O(1), but trigger O(1) changes, hump splitting, and secondary bifurcations when D is comparable to the perturbation size.
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The 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 3. The effect of perturbations in the kernel
Tiny admissible perturbations of the top-hat kernel leave the 1D nonlocal Fisher-KPP dynamics regularly perturbed when D=O(1), but trigger O(1) changes, hump splitting, and secondary bifurcations when D is comparable to the perturbation size.