@article{fdi:010068847,
  title = {{M}athematical analysis of a nonlinear model of soil carbon dynamics},
  author = {{H}ammoudi, {A}. and {I}osifescu, {O}. and {B}ernoux, {M}artial},
  editor = {},
  language = {{ENG}},
  abstract = {{MOMOS} model ({M}odelling {O}rganic changes by {M}icro-{O}rganisms of {S}oil) is a nonlinear system of ordinary differential equations, which models the dynamics of carbon in soil. {T}his "compartmental" model emphasizes the role of the microbial biomass which is responsible for the model nonlinearity. {W}e show here that, for any initial condition, there exists a global unique solution. {M}oreover 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.},
  keywords = {{S}oil organic carbon dynamics ; {N}onlinear systems ; {O}rdinary differential equations ; {C}ooperative system ; {P}eriodic solutions ; {A}symptotic stability},
  booktitle = {},
  journal = {{D}ifferential {E}quations and {D}ynamical {S}ystems},
  volume = {23},
  numero = {4},
  pages = {453--466},
  ISSN = {0971-3514},
  year = {2015},
  DOI = {10.1007/s12591-014-0227-5},
  URL = {https://www.documentation.ird.fr/hor/fdi:010068847},
}