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.
Calisto
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Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Casilla 7-D Arica, Chile. hcalisto@uta.cl
Bologna
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