6533b873fe1ef96bd12d44ed

RESEARCH PRODUCT

Noise Induced Phenomena in Lotka-Volterra Systems

Davide ValentiAlessandro FiasconaroBernardo Spagnolo

subject

Forcing (recursion theory)ExtinctionStatistical Mechanics (cond-mat.stat-mech)Stochastic resonanceGeneral MathematicsLotka–Volterra equationsPopulations and Evolution (q-bio.PE)Time evolutionFOS: Physical sciencesGeneral Physics and AstronomyStatistical mechanicsNoiseControl theoryFOS: Biological sciencesSpatial ecologyQuantitative Biology::Populations and EvolutionStatistical physicsQuantitative Biology - Populations and EvolutionCondensed Matter - Statistical MechanicsMathematics

description

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.

yearjournalcountryeditionlanguage
2003-10-24
http://arxiv.org/abs/cond-mat/0310585