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Mathematical Analysis of a Nonlinear Model of Soil Carbon Dynamics

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Abstract

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.

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Acknowledgments

This research is financially supported by the laboratories of excellence (LabEx) NUMEV (solutions Numériques, Matricielles et Modélisation pour l’Environnement et le Vivant) and the LabEx CEMEB (Centre Méditerranéen de l’Environnement et de la Biodiversité). Acknowledgements are also extended to the Ecoles doctorales SIBAGHE and I2S of Montpellier.

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Authors and Affiliations

  1. Institut de mathmatiques - I3M, Université Montpellier 2, Case Courier 051, Place Eugène Bataillon, 34095, Montpellier Cedex 5, France

    Alaaeddine Hammoudi & Oana Iosifescu

  2. Eco&Sols (INRA, SupAgro, CIRAD, IRD), 2, Place Viala, 34060, Montpellier Cedex 2, France

    Martial Bernoux

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  1. Alaaeddine Hammoudi
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  2. Oana Iosifescu
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  3. Martial Bernoux
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Correspondence to Oana Iosifescu.

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Hammoudi, A., Iosifescu, O. & Bernoux, M. Mathematical Analysis of a Nonlinear Model of Soil Carbon Dynamics. Differ Equ Dyn Syst 23, 453–466 (2015). https://doi.org/10.1007/s12591-014-0227-5

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