Travelling waves for a bistable reaction-diffusion equation with delay

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.

22 pages, 1 figure, submitted

Cited by in corpus (2)

• Travelling waves for a non-monotone bistable equation with delay: existence and oscillations
• Global continuation of monotone waves for a unimodal bistable reaction-diffusion equation with delay