Transition between extinction and blow-up in a generalized Fisher-KPP model
arXiv:1910.05823 · doi:10.1016/j.physleta.2014.04.027
Abstract
Stationary solutions of the Fisher-KPP equation with general nonlinear diffusion and arbitrary reactional kinetic orders terms are characterized. Such stationary (separatrix-like) solutions disjoint the blow-up solutions from those showing extinction. In addition a criterion for general parameter values is presented, which allows determining the blow-up or vanishing character of the solutions.
13 pages and 2 figures