Front motion in a non-local Fisher-Kolmogorov-Petrovskii-Piscunov (FKPP) equation

Abstract

[eng] We consider the well known FKPP (Fisher-Kolmogorov-Petrovskii-Piscunov) model, with a non-local spatial term due to competition for resources. The fronts of the model are analyzed and compared with numerical simulations. Because of the non-local term, two different fronts can emerge from different initial conditions, while in the standard FKPP we have only one front. Each front in the model presents a different velocity selection mechanism, one of the fronts is pulled while the other is a pushed front.