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Travelling fronts in a food-limited population model with time delay. (English) Zbl 1006.35051

This paper concerns the travelling front solutions of a certain food-limited population model incorporating time-delays and diffusion. For a particular class of delay kernels, exsistence of travelling front solutions connecting two spatially uniform steady states is established for sufficiently small delays.

MSC:

35K57 Reaction-diffusion equations
92D25 Population dynamics (general)
35R10 Partial functional-differential equations
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