Transient behavior of a population dynamical model
B. Spagnolo, D. Valenti, A. Fiasconaro

TL;DR
This paper studies how ecosystems with many interacting species respond over time when influenced by environmental noise, revealing different long-term behaviors and the impact of noise on species interactions.
Contribution
It introduces an analysis of transient dynamics in a population model with multiplicative environmental noise, highlighting the effects on ecosystem stability and species interactions.
Findings
Different asymptotic dynamical regimes identified
External noise significantly affects the probability distribution of local fields
Transient behaviors depend on noise intensity and interaction structure
Abstract
The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic dynamical regimes and the role of the external noise on the probability distribution of the local field.
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