6533b862fe1ef96bd12c6cb6

RESEARCH PRODUCT

Nonlinear Relaxation in Population Dynamics

Bernardo SpagnoloFerdinando De PasqualeM. A. Cirone

subject

education.field_of_studyDistribution (number theory)Statistical Mechanics (cond-mat.stat-mech)Applied MathematicsPopulationFOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksMultiplicative noiseQuantitative BiologyNonlinear systemMean field theoryModeling and SimulationFOS: Biological sciencesQuantitative Biology::Populations and EvolutionGeometry and TopologyRelaxation (approximation)Statistical physicseducationFocus (optics)Local fieldCondensed Matter - Statistical MechanicsQuantitative Biology (q-bio)Mathematics

description

We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in the framework of the mean field theory and with random interaction between the species. We focus on the statistical properties of the asymptotic behaviour of the time integral of the i-th population and on the distribution of the population and of the local field.

yearjournalcountryeditionlanguage
2001-07-19
https://dx.doi.org/10.48550/arxiv.cond-mat/0107394