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arXiv · 1504.05437

Road-field reaction-diffusion system: a new threshold for long range exchanges

Antoine Pauthier
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Abstract

We consider reaction-diffusion equations of KPP type in a presence of a line of fast diffusion with non-local exchange terms between the line and the framework. Our study deals with the infimum of the spreading speed depending on the exchange functions. We exhibit a new threshold in the limit of long range exchange terms for the line to influence the propagation.

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Antoine Pauthier. 2015-04-21. Road-field reaction-diffusion system: a new threshold for long range exchanges. https://arxiv.org/abs/1504.05437

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