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
Received: 30 June 2015
Received in final form: 28 August 2015
Published online: 19 October 2015
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015