Traveling Waves for a Bistable Reaction-Diffusion Equation with Delay

International audienceThe paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray--Schauder method. Differently from the previous works, we do not assume here quasi-monotonicity of the delayed reaction term

Traveling waves for a bistable reaction-diffusion equation with delay

The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray–Schauder method. Differently from the previous works, we do not assume here quasi-monotonicity of the delayed reaction term. © 2018 Society for Industrial and Applied Mathematics

Traveling waves for a bistable reaction-diffusion equation with delay

The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray–Schauder method. Differently from the previous works, we do not assume here quasi-monotonicity of the delayed reaction term. © 2018 Society for Industrial and Applied Mathematics