6533b873fe1ef96bd12d4f1b

RESEARCH PRODUCT

Dynamics of closed ecosystems described by operators

Fabio BagarelloFrancesco Oliveri

subject

Pure mathematicsHeisenberg-like dynamicsEcological ModelingClosed ecological systemDynamics (mechanics)Linear modelFOS: Physical sciencesFermionic operatorClosed ecosystemNonlinear systemNumber representationBiological Physics (physics.bio-ph)Dissipative systemStatistical physicsPhysics - Biological PhysicsClosed ecosystems; Fermionic operators; Heisenberg-like dynamicsSettore MAT/07 - Fisica MatematicaMathematics

description

Abstract We adopt the so-called occupation number representation , originally used in quantum mechanics and recently adopted in the description of several classical systems, in the analysis of the dynamics of some models of closed ecosystems. In particular, we discuss two linear models, for which the solution can be found analytically, and a nonlinear system, for which we produce numerical results. We also discuss how a dissipative effect could be effectively implemented in the model.

http://arxiv.org/abs/1402.6214