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Noise Induced Phenomena in Lotka-Volterra Systems

2003/10/24 by Bernardo Spagnolo, B. Spagnolo, Spagnolo, B. +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · Environmental Science · Physics and Astronomy · #Animal Ecology and Behavior Studies #Ecosystem dynamics and resilience #FOS: Biological sciences #FOS: Physical sciences #Populations and Evolution (q-bio.PE) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #q-bio.PE #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.cond-mat/0310585

9 pages, 6 figures, 23 panels. Appeared in Fluctuation and Noise Letters (2003)

openalex publication_date 2003/10/24 · arxiv created 2003/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the time evolution of two ecosystems in the presence of external noise and climatic periodical forcing by a generalized Lotka-Volterra (LV) model. In the first ecosystem, composed by two competing species, we find noise induced phenomena such as: (i) quasi deterministic oscillations, (ii) stochastic resonance, (iii) noise delayed extinction and (iv) spatial patterns. In the second ecosystem, composed by three interacting species (one predator and two preys), using a discrete model of the LV equations we find that the time evolution of the spatial patterns is strongly dependent on the initial conditions of the three species.

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