Asymptotic regime in N random interacting species
Dipartimento di Fisica e Tecnologie Relative, Università di Palermo and INFM-CNR, Group of Interdisciplinary Physics Viale delle Scienze, 90128 Palermo, Italy
Corresponding author: a email@example.com
Revised: 29 November 2005
Published online: 16 February 2006
The asymptotic regime of a complex ecosystem with N random interacting species and in the presence of an external multiplicative noise is analyzed. We find the role of the external noise on the long time probability distribution of the ith density species, the extinction of species and the local field acting on the ith population. We analyze in detail the transient dynamics of this field and the cavity field, which is the field acting on the ith species when this is absent. We find that the presence or the absence of some population give different asymptotic distributions of these fields.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 87.23.Cc – Population dynamics and ecological pattern formation / 89.75.-k – Complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006