Eur. Phys. J. B (2015) 88: 265
https://doi.org/10.1140/epjb/e2015-60522-6

Regular Article

Generalized Nagumo model: interesting effects of parameters’ fluctuations

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

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Received: 30 June 2015
Received in final form: 28 August 2015
Published online: 19 October 2015

Abstract

In this paper, we used an analytical method to calculate the effects that produce the parameter’s fluctuations characterizing a generalization of Nagumo model. (The extinction option is replaced by one of low density homogeneous population.) Moreover, we also check the results by means of numerical simulations of the corresponding stochastic process. We find that these fluctuations have a strong impact on the solutions producing interesting changes.