Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 5, 2016
Bifurcations and Pattern Formation in Biological Applications
|
|
---|---|---|
Page(s) | 158 - 174 | |
DOI | https://doi.org/10.1051/mmnp/201611510 | |
Published online | 07 December 2016 |
Noise Induced Phenomena in the Dynamics of Two Competing Species
1
Dipartimento di Fisica e Chimica, Università di Palermo, Group of Interdisciplinary Theoretical Physics and CNISM, Unità di Palermo, Viale delle Scienze, Ed. 18, I-90128
Palermo, Italy
2
Dipartimento di Scienze Veterinarie, Università di Messina Polo Universitario dell’Annunziata, 98168
Messina, Italy
3
Radiophysics Department, Lobachevsky State University, Nizhniy Novgorod, Russia
4
Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Italy
5
Istituto per l’Ambiente Marino Costiero, CNR, U.O.S. di Capo Granitola, Via del Faro 3, I-91020
Campobello di Mazara (TP), Italy
* Corresponding author. E-mail: davide.valenti@unipa.it
Noise through its interaction with the nonlinearity of the living systems can give rise to counter-intuitive phenomena. In this paper we shortly review noise induced effects in different ecosystems, in which two populations compete for the same resources. We also present new results on spatial patterns of two populations, while modeling real distributions of anchovies and sardines. The transient dynamics of these ecosystems are analyzed through generalized Lotka-Volterra equations in the presence of multiplicative noise, which models the interaction between the species and the environment. We find noise induced phenomena such as quasi-deterministic oscillations, stochastic resonance, noise delayed extinction, and noise induced pattern formation. In addition, our theoretical results are validated with experimental findings. Specifically the results, obtained by a coupled map lattice model, well reproduce the spatial distributions of anchovies and sardines, observed in a marine ecosystem. Moreover, the experimental dynamical behavior of two competing bacterial populations in a meat product and the probability distribution at long times of one of them are well reproduced by a stochastic microbial predictive model.
Mathematics Subject Classification: 82C05 / 82C31 / 60H10 / 34F15 / 92D25 / 92D40
Key words: noise induced phenomena / population dynamics / Langevin equation / multiplicative noise / stochastic resonance / predictive microbiology
© EDP Sciences, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.