Extinction avoidance by aggregation in excitable kinetics

We considerer that a population of individuals governed by the Nagumo model is subjected to a crisis that stimulates a predisposition towards aggregation. We assume that this trend is based on the physical mechanisms of attraction between individuals. Then we describe the post-crisis dynamics and find possible states of survival (stationary solutions). We see a dynamic rich in options with several possible survival responses. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013