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Effects on generalized growth models driven by a non-Poissonian dichotomic noise

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Abstract

In this paper we consider a general growth model with stochastic growth rate modelled via a symmetric non-poissonian dichotomic noise. We find an exact analytical solution for its probability distribution. We consider the, as yet, unexplored case where the deterministic growth rate is perturbed by a dichotomic noise characterized by a waiting time distribution in the two state that is a power law with power 1 < μ < 2. We apply the results to two well-known growth models; Malthus-Verhulst and Gompertz.

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Authors and Affiliations

  1. Instituto de Alta Investigación IAI, Universidad de Tarapacá, Casilla 7-D, Arica, Chile

    M. Bologna

  2. Departamento de Física Facultad de Ciencias, Universidad de Tarapacá, Casilla 7-D, Arica, Chile

    H. Calisto

Authors
  1. M. Bologna
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  2. H. Calisto
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Correspondence to M. Bologna.

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Bologna, M., Calisto, H. Effects on generalized growth models driven by a non-Poissonian dichotomic noise. Eur. Phys. J. B 83, 409 (2011). https://doi.org/10.1140/epjb/e2011-20493-2

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  • DOI: https://doi.org/10.1140/epjb/e2011-20493-2

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