Moment equations in a Lotka-Volterra extended system with time correlated noise

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dc.creatorValenti, D.
dc.creatorSchimansky-Geier, L.
dc.creatorSailer, X.
dc.creatorSpagnolo, B.
dc.creatorIacomi, M.
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:31:18Z
dc.date.available2026-07-07T07:31:18Z
dc.descriptionA spatially extended Lotka-Volterra system of two competing species in the presence of two correlated noise sources is analyzed: (i) an external multiplicative time correlated noise, which mimics the interaction between the system and the environment; (ii) a dichotomous stochastic process, whose jump rate is a periodic function, which represents the interaction parameter between the species. The moment equations for the species densities are derived in Gaussian approximation, using a mean field approach. Within this formalism we study the effect of the external time correlated noise on the ecosystem dynamics. We find that the time behavior of the $1^{st}$ order moments are independent on the multiplicative noise source. However the behavior of the $2^{nd}$ order moments is strongly affected both by the intensity and the correlation time of the multiplicative noise. Finally we compare our results with those obtained studying the system dynamics by a coupled map lattice model.
dc.description12 pages, 7 figures, to appear in Acta Phys. Pol. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0611358
dc.identifierhttp://arxiv.org/abs/cond-mat/0611358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118707
dc.subjectStatistical Mechanics
dc.titleMoment equations in a Lotka-Volterra extended system with time correlated noise
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