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arxiv: 1701.08560 · v1 · pith:BUUYAL5Hnew · submitted 2017-01-30 · 🧮 math.AP

Travelling waves for a bistable reaction-diffusion equation with delay

classification 🧮 math.AP
keywords bistabledelayequationreaction-diffusiontravellingwavesarisingassume
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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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