On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system

Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing...

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Autores principales: Rozenfeld, Alejandro Fabián, Tessone, Claudio Juan, Albano, Ezequiel Vicente, Wio, Horacio S.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129520
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129520
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
spellingShingle Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
Rozenfeld, Alejandro Fabián
Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
topic_facet Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
description Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing State, Fixed Point (FP) and an Oscillatory Regime (OR) with a well defined proper (natural) frequency. The addition of noise destabilizes the FP phase inducing a transition to a new OR. Surprisingly, it is found that when a periodic signal is added to the control parameter, the system responds robustly, without relevant changes in its behavior. Nevertheless, the "Coherent Stochastic Resonance" phenomenon is found only at the proper frequency. Also, a method based on SAF allows us to locate very accurately the transition points between the different regimes.
format Articulo
Articulo
author Rozenfeld, Alejandro Fabián
Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
author_facet Rozenfeld, Alejandro Fabián
Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
author_sort Rozenfeld, Alejandro Fabián
title On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_short On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_full On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_fullStr On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_full_unstemmed On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_sort on the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/129520
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