A logistic equation with degenerate diffusion and Robin boundary conditions (Q939230)

A species confined in a bounded region is studied under the assumption that it diffuses slowly in its habitat, that is, the species is distributed in space and interacts with the physical environment. It follows a logistic law in the habitat and there is a flux of population across the boundary. The main objective is in studying the effects of combining nonlinear slow diffusion and flux across the boundary, which shows that there is an important change of behavior of the model. Some theoretical results are given alongside with their biological interpretation.