Eur. Phys. J. B (2013) 86: 390
https://doi.org/10.1140/epjb/e2013-40153-9

Regular Article

Extinction avoidance by aggregation in excitable kinetics

IFIMAR (Universidad Nacional de Mar del Plata and CONICET), Dean Funes 3350, B7602 AYL Mar del Plata, Argentina

^a e-mail: smangio@mdp.edu.ar

Received: 22 February 2013
Received in final form: 20 June 2013
Published online: 23 September 2013

Abstract

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.