## Abstract

The dynamics of generic stochastic Lotka-Volterra (discrete logistic) systems of the form [Formula Presented] is studied by computer simulations. The variables [Formula Presented] are the individual system components and [Formula Presented] is their average. The parameters [Formula Presented] and [Formula Presented] are constants, while [Formula Presented] is randomly chosen at each time step from a given distribution. Models of this type describe the temporal evolution of a large variety of systems such as stock markets and city populations. These systems are characterized by a large number of interacting objects and the dynamics is dominated by multiplicative processes. The instantaneous probability distribution [Formula Presented] of the system components [Formula Presented] turns out to fulfill a Pareto power law [Formula Presented] The time evolution of [Formula Presented] presents intermittent fluctuations parametrized by a Lévy-stable distribution with the same index [Formula Presented] showing an intricate relation between the distribution of the [Formula Presented] at a given time and the temporal fluctuations of their average.

Original language | English |
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Pages (from-to) | 1352-1358 |

Number of pages | 7 |

Journal | Physical Review E |

Volume | 58 |

Issue number | 2 |

DOIs | |

State | Published - 1998 |