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Field‐road models are reaction–diffusion systems, recently introduced, designed to account for the effect of a road on propagation phenomena arising in epidemiology and ecology. Such systems consist in coupling a classical Fisher‐Kolmogorov‐Petrovski‐Piskunov equation with a line with fast diffusion accounting for a road. A series of works investigate the spreading properties of such systems when the road is a straight line and the field a half‐plane. Here, we take interest in the case where the field is a cone. Our main result is that the spreading speed is not influenced by the angle of the cone.

Influence of the geometry on a field‐road model: the case of a conical field