https://doi.org/10.1140/epjb/e2011-20493-2
Regular Article
Effects on generalized growth models driven by a non-Poissonian dichotomic noise
1
Instituto de Alta Investigación IAI, Universidad de
Tarapacá, Casilla
7- D Arica,
Chile
2
Departamento de Física Facultad de Ciencias Universidad de
Tarapacá, Casilla
7- D Arica,
Chile
a e-mail: mauroh69@gmail.com
Received:
20
June
2011
Received in final form:
22
August
2011
Published online:
10
October
2011
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.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2011
