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arXiv · 1510.00303

On existence of semi-wavefronts for a non-local reaction-diffusion equations with distributed time delay

Maitere Aguerrea·Carlos Gómez
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Abstract

We establish the existence of semi-wavefronts solutions for a non-local delayed reaction-diffusion equation with monostable nonlinearity. The existence result is proved for all speeds $c\geq c_\star$, where the determination of $c_\star$ is similar to the calculation of the minimal speed of propagation. The results are applied to some non-local reaction-diffusion epidemic and population models with distributed time delay.

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Maitere Aguerrea, Carlos Gómez. 2015-10-01. On existence of semi-wavefronts for a non-local reaction-diffusion equations with distributed time delay. https://arxiv.org/abs/1510.00303

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