Exact probability distribution for the Bernoulli-Malthus-Verhulst model driven by a multiplicative colored noise.
We report an exact result for the calculation of the probability distribution of the Bernoulli-Malthus-Verhulst model driven by a multiplicative colored noise. We study the conditions under which the probability distribution of the Malthus-Verhulst model can exhibit a transition from a unimodal to a bimodal distribution depending on the value of a critical parameter. Also we show that the mean value of x(t) in the latter model always approaches asymptotically the value 1.
Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Casilla 7-D Arica, Chile. hcalisto@uta.cl
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Bologna