TY - JOUR
T1 - Exact probability distribution for the Bernoulli-Malthus-Verhulst model driven by a multiplicative colored noise
AU - Calisto, H.
AU - Bologna, M.
PY - 2007/5/17
Y1 - 2007/5/17
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/34347263086
U2 - 10.1103/PhysRevE.75.050103
DO - 10.1103/PhysRevE.75.050103
M3 - Article
AN - SCOPUS:34347263086
SN - 1539-3755
VL - 75
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
M1 - 050103
ER -