Entire solutions of monotone bistable reaction–diffusion systems in $$\pmb {\mathbb {R}}^N$$RN

International audienceThis paper is concerned with entire solutions of monotone bistable reaction-diffusion systems inRN. We first showthat there is a newentire solution for bistable reaction-diffusion systems which behaves as threemoving planar fronts as time goes to-8 and as a V-shaped traveling front as time goes to 8. Then we address the speed of the interfaces corresponding to the entire solution by appealing to the super-sub solutions technique. Finally, we apply our results to two important models in biology