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arXiv · 1209.5668

Propagating interface in a monostable reaction-diffusion equation with time delay

Matthieu Alfaro·Arnaud Ducrot
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Abstract

We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the solutions. We construct accurate lower barriers --- by using a non standard bistable approximation of the monostable problem--- and upper barriers. As a consequence, we prove the convergence to a propagating interface.

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Matthieu Alfaro, Arnaud Ducrot. 2012-09-25. Propagating interface in a monostable reaction-diffusion equation with time delay. https://arxiv.org/abs/1209.5668

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