6533b7defe1ef96bd1275f21

RESEARCH PRODUCT

Self-regulation mechanism of an ecosystem in a non-Gaussian fluctuation regime

Bernardo SpagnoloSergio CiuchiF. De Pasquale

subject

symbols.namesakeNonlinear systemMean field theoryThermodynamic equilibriumCritical point (thermodynamics)GaussiansymbolsTime averageStatistical physicsInstabilityEcological networkMathematics

description

We study a dynamical model for an ecological network of many interacting species. We consider a Malthus-Verhulst type of self-regulation mechanism. In the framework of the mean field theory we study the nonlinear relaxation in three different cases: (a) towards the equilibrium state, (b) towards the absorbing barrier, (c) at the critical point. We obtain asymptotic behavior in all different cases for the time average of the process. The dynamical behavior of the system, in the limit of infinitely many interacting species, is investigated in the stability and instability conditions and theoretical results are compared with numerical simulations. \textcopyright{} 1996 The American Physical Society.

yearjournalcountryeditionlanguage
1996-07-01
10.1103/physreve.54.706http://hdl.handle.net/11697/1828