An exact analytical solution for generalized growth models driven by a Markovian dichotomic noise

Details An exact analytical solution for generalized growth models driven by a Markovian dichotomic noise An exact analytical solution for generalized growth models driven by a Markovian dichotomic noise

2010-03-03

arxiv.org/abs/1003.0792v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Logistic growth models are recurrent in biology, epidemiology, market models, and neural and social networks. They find important applications in many other fields including laser modelling. In numerous realistic cases the growth rate undergoes stochastic fluctuations and we consider a growth model with a stochastic growth rate modelled via an asymmetric Markovian dichotomic noise. We find an exact analytical solution for the probability distribution providing a powerful tool with applications ranging from biology to astrophysics and laser physics.

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