Article Dans Une Revue Differential Equations and Dynamical Systems Année : 2015

Mathematical Analysis of a Nonlinear Model of Soil Carbon Dynamics

Résumé

MOMOS model (Modelling Organic changes by Micro-Organisms of Soil) is a nonlinear system of ordinary differential equations, which models the dynamics of carbon in soil. This "compartmental" model emphasizes the role of the microbial biomass which is responsible for the model nonlinearity. We show here that, for any initial condition, there exists a global unique solution. Moreover if we assume periodicity of model entries we prove existence and uniqueness of a periodic solution which is also a global attractor for any other solution of this periodic system.

Fichier non déposé

Dates et versions

hal-01818753 , version 1 (19-06-2018)

Identifiants

Citer

Alaaeddine Hammoudi, Oana Iosifescu, Martial Bernoux. Mathematical Analysis of a Nonlinear Model of Soil Carbon Dynamics. Differential Equations and Dynamical Systems, 2015, 23 (4), pp.453 - 466. ⟨10.1007/s12591-014-0227-5⟩. ⟨hal-01818753⟩
328 Consultations
0 Téléchargements

Altmetric

Partager

  • More