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RESEARCH PRODUCT

Noise Induced Phenomena in the Dynamics of Two Competing Species

Luciano CurcioG. DenaroAngelo BonannoGualtiero BasiloneNicola PizzolatoBernardo SpagnoloBernardo SpagnoloSalvatore MazzolaAlessandro GiuffridaDavide Valenti

subject

Stochastic resonanceMultiplicative noiseFOS: Physical sciencesPopulation dynamic01 natural sciencesMultiplicative noiseNoise induced phenomena010305 fluids & plasmasLangevin equation0103 physical sciencesQuantitative Biology::Populations and EvolutionStatistical physicsQuantitative Biology - Populations and Evolution010306 general physicsCondensed Matter - Statistical MechanicsPhysicsExtinctionPredictive microbiologyStatistical Mechanics (cond-mat.stat-mech)Applied MathematicsPopulations and Evolution (q-bio.PE)Langevin equation; Multiplicative noise; Noise induced phenomena; Population dynamics; Predictive microbiology; Stochastic resonance; Modeling and SimulationSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)Langevin equationNoiseModeling and SimulationFOS: Biological sciencesSpatial ecologyProbability distributionStochastic resonanceCoupled map lattice

description

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.

https://dx.doi.org/10.48550/arxiv.1511.07266