The dynamics of two competing species within the framework of the generalized Lotka-Volterra equations, in the presence of multiplicative alpha-stable Lévy noise sources and a random time dependent interaction parameter, is studied. The species dynamics is characterized by two different dynamical regimes, exclusion of one species and coexistence of both, depending on the values of the interaction parameter, which obeys a Langevin equation with a periodically fluctuating bistable potential and an additive alpha-stable Lévy noise. The stochastic resonance phenomenon is analyzed for noise sources asymmetrically distributed. Finally, the effects of statistical dependence between multiplicative noise and additive noise on the dynamics of the two species are studied.

La Cognata, A., Valenti, D., Spagnolo, B., Dubkov, A.A. (2010). Two competing species in super-diffusive dynamical regimes. THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS, 77, 273-279 [10.1140/epjb/e2010-00239-6].

Two competing species in super-diffusive dynamical regimes

LA COGNATA, Angelo;VALENTI, Davide;SPAGNOLO, Bernardo;
2010-01-01

Abstract

The dynamics of two competing species within the framework of the generalized Lotka-Volterra equations, in the presence of multiplicative alpha-stable Lévy noise sources and a random time dependent interaction parameter, is studied. The species dynamics is characterized by two different dynamical regimes, exclusion of one species and coexistence of both, depending on the values of the interaction parameter, which obeys a Langevin equation with a periodically fluctuating bistable potential and an additive alpha-stable Lévy noise. The stochastic resonance phenomenon is analyzed for noise sources asymmetrically distributed. Finally, the effects of statistical dependence between multiplicative noise and additive noise on the dynamics of the two species are studied.
2010
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
La Cognata, A., Valenti, D., Spagnolo, B., Dubkov, A.A. (2010). Two competing species in super-diffusive dynamical regimes. THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS, 77, 273-279 [10.1140/epjb/e2010-00239-6].
File in questo prodotto:
File Dimensione Formato  
Eur_Phys_J_B_77_273_2010.pdf

Solo gestori archvio

Dimensione 296.19 kB
Formato Adobe PDF
296.19 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/51508
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 13
social impact