Hammoudi A. auteur aut IRD Iosifescu O. auteur aut IRD Bernoux Martial auteur aut IRD text journalArticle eng text/pdf born digital access 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. specialized Soil organic carbon dynamics Nonlinear systems Ordinary differential equations Cooperative system Periodic solutions Asymptotic stability 020 068 23 4 453-466 2015 0971-3514 https://www.documentation.ird.fr/hor/fdi:010068847 10.1007/s12591-014-0227-5 0971-3514 [F B010068847] https://www.documentation.ird.fr/hor/fdi:010068847 https://www.documentation.ird.fr/intranet/publi/2017/02-recup-esci/010068847.pdf Accès réservé (Intranet de l'IRD) IRD - Base Horizon / Pleins textes 2017-04-04 2022-09-23 fdi:010068847 fre