Eur. Phys. J. B (2014) 87: 248
https://doi.org/10.1140/epjb/e2014-50386-7

Regular Article

Interaction between “dissipative solitons” stabilized by aggregation in excitable kinetics

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

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Received: 11 June 2014
Received in final form: 19 August 2014
Published online: 27 October 2014

Abstract

We consider that a population of individuals governed by the Nagumo model is characterized by predisposition towards aggregation. “Dissipative solitons” interacting are solutions for such system. We changed the possibility of extinction, predicted by Nagumo model, by a uniform background of low population’s density and then we observed relevant effect on interaction between “solitons”.