{
  "id": "cond-mat/0310587",
  "version": "v1",
  "published": "2003-10-24T12:57:21.000Z",
  "updated": "2003-10-24T12:57:21.000Z",
  "title": "Stochastic resonance for two competing species in the presence of colored noise",
  "authors": [
    "D. Valenti",
    "A. Fiasconaro",
    "B. Spagnolo"
  ],
  "comment": "7 pages, 7 figures, 22 panels. To appear in Modern Problems in Statistical Physics",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the role of multiplicative colored noise for different values of the correlation time $\\tau_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise models the interaction between the species and the environment. The interaction parameter between the species is a random process which obeys a stochastic differential equation with a generalized bistable potential in the presence of a periodic driving term, which accounts for the environment temperature variation. The bistable potential is useful to describe the coexistence and exclusion dynamical regimes of the ecosystem. Noise-induced periodic oscillations of the species concentrations and stochastic resonance phenomenon appear due to the presence of the multiplicative noise. We find that for low values of the correlation time $\\tau_c$ the response of the system coincides with that obtained with multiplicative white noise. For higher values of $\\tau_c$ the coherent response of the system and the maximum of the signal-to-noise ratio, signature of the stochastic resonance phenomenon, are shifted towards higher values of the noise intensity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-24T12:57:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "competing species",
      "correlation time",
      "stochastic resonance phenomenon appear",
      "higher values",
      "multiplicative colored noise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat.10587V"
    }
  }
}