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arXiv · 1701.08560

Travelling waves for a bistable reaction-diffusion equation with delay

Sergei Trofimchuk·Vitaly Volpert
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Abstract

The paper is devoted to a reaction-diffusion equation with delay arising in modelling the immune response. We prove the existence of travelling waves in the bistable case using the Leray-Schauder method. In difference with the previous works, we do not assume here quasi-monotonicity of the delayed reaction term.

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Sergei Trofimchuk, Vitaly Volpert. 2017-01-30. Travelling waves for a bistable reaction-diffusion equation with delay. https://doi.org/10.1137/17m1115587

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