NOISE INDUCED PHENOMENA IN LOTKA-VOLTERRA SYSTEMS
- 1 June 2003
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Fluctuation and Noise Letters
- Vol. 03 (02), L177-L185
- https://doi.org/10.1142/s0219477503001245
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.Keywords
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