2 papers
math.AP2025
Travelling waves in non-local reaction-dispersion equations with diffuse levy measures
Emeric Bouin, Jérôme Coville
In this paper, we focus on the existence of propagation fronts, solutions to non-local dispersion reaction models. Our aim is to provide a unified proof of this existence in a very…
math.AP2024
Acceleration or finite speed propagation in integro-differential equations with logarithmic Allee effect
Emeric Bouin, Jérôme Coville, Xi Zhang
This paper is devoted to studying propagation phenomena in integro-differential equations with a weakly degenerate non-linearity. The reaction term can be seen as an intermediate b…