Stability of Dirac concentrations in an integro-PDE model for evolution of dispersal (Q2403775)

The model considered in this work is inspired by the selection-mutation model by \textit{J. Dockery} et al. [J. Math. Biol. 37, 61--83 (2009; Zbl 0921.92021)], and generalizes classical Fisher's ideas on a random genetic drift in coordination with the spatial motility of actors and their interaction under conditions of a spatially heterogeneous substrate. Within these assumption, the corresponding integro-differential model is studied with respect to the linear stability of existing eigenvalues.