Noise in ecosystems: A short review
Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we briefly review the noise-induced effects in three different e...
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| Language: | English |
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.185 |
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| author | B. Spagnolo D. Valenti A. Fiasconaro |
| author_facet | B. Spagnolo D. Valenti A. Fiasconaro |
| author_sort | B. Spagnolo |
| collection | DOAJ |
| description | Noise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we briefly review the noise-induced effects in three different ecosystems: (i) twocompeting species; (ii) three interacting species, one predator and two preys, and(iii) N-interacting species. The transient dynamics of these ecosystems are analyzed through generalized Lotka-Volterra equations in the presence of multiplicativenoise, which models the interaction between the species and the environment. Theinteraction parameter between the species is random in cases (i) and (iii), and aperiodical function, which accounts for the environmental temperature, in case (ii).We find noise-induced phenomena such as quasi-deterministic oscillations, stochasticresonance, noise-delayed extinction, and noise-induced pattern formation with non-monotonic behaviors of patterns areas and of the density correlation as a functionof the multiplicative noise intensity. The asymptotic behavior of the time average ofthe$ i^{th}$population when the ecosystem is composed of a great number of interactingspecies is obtained and the effect of the noise on the asymptotic probability distri-butions of the populations is discussed. |
| format | Article |
| id | doaj-art-42b1020da42c4a40b2b05b4afe5d552f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-42b1020da42c4a40b2b05b4afe5d552f2025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-011118521110.3934/mbe.2004.1.185Noise in ecosystems: A short reviewB. Spagnolo0D. Valenti1A. Fiasconaro2Dipartimento di Fisica e Tecnologie Relative, Istituto Nazionale di Fisica della Materia, Unità di Palermo, Università di Palermo, Viale delle Scienze, I-90128 PalermoDipartimento di Fisica e Tecnologie Relative, Istituto Nazionale di Fisica della Materia, Unità di Palermo, Università di Palermo, Viale delle Scienze, I-90128 PalermoDipartimento di Fisica e Tecnologie Relative, Istituto Nazionale di Fisica della Materia, Unità di Palermo, Università di Palermo, Viale delle Scienze, I-90128 PalermoNoise, through its interaction with the nonlinearity of the living systems, can give rise to counter-intuitive phenomena such as stochastic resonance, noise-delayed extinction, temporal oscillations, and spatial patterns. In this paper we briefly review the noise-induced effects in three different ecosystems: (i) twocompeting species; (ii) three interacting species, one predator and two preys, and(iii) N-interacting species. The transient dynamics of these ecosystems are analyzed through generalized Lotka-Volterra equations in the presence of multiplicativenoise, which models the interaction between the species and the environment. Theinteraction parameter between the species is random in cases (i) and (iii), and aperiodical function, which accounts for the environmental temperature, in case (ii).We find noise-induced phenomena such as quasi-deterministic oscillations, stochasticresonance, noise-delayed extinction, and noise-induced pattern formation with non-monotonic behaviors of patterns areas and of the density correlation as a functionof the multiplicative noise intensity. The asymptotic behavior of the time average ofthe$ i^{th}$population when the ecosystem is composed of a great number of interactingspecies is obtained and the effect of the noise on the asymptotic probability distri-butions of the populations is discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.185nonequilibrium statistical mechanicsnoiseinducedeffectspopulation dynamicsspatio-temporal patterns. |
| spellingShingle | B. Spagnolo D. Valenti A. Fiasconaro Noise in ecosystems: A short review Mathematical Biosciences and Engineering nonequilibrium statistical mechanics noiseinducedeffects population dynamics spatio-temporal patterns. |
| title | Noise in ecosystems: A short review |
| title_full | Noise in ecosystems: A short review |
| title_fullStr | Noise in ecosystems: A short review |
| title_full_unstemmed | Noise in ecosystems: A short review |
| title_short | Noise in ecosystems: A short review |
| title_sort | noise in ecosystems a short review |
| topic | nonequilibrium statistical mechanics noiseinducedeffects population dynamics spatio-temporal patterns. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.185 |
| work_keys_str_mv | AT bspagnolo noiseinecosystemsashortreview AT dvalenti noiseinecosystemsashortreview AT afiasconaro noiseinecosystemsashortreview |