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Modeling and mathematical analysis of the dynamics of soil organic carbon

Abstract : Understanding the soil organic matter (SOM) cycle is a major tool in the effort toreduce global warming, to preserve biodiversity and to improve food safety strategies.In this context, this thesis is about modelling and mathematical analysis of thedynamics of the organic carbon in soil.In chapter 2, we validate mathematically a nonlinear soil organic carbon model(MOMOS) and we prove that, if data is periodic, then there is a unique attractiveperiodic solution. In chapter 3, we focus on the mathematical validation of a spatialmodel derived from MOMOS and where we used diffusion and transport operators.We prove also the existence of a periodic solution. In addition, the effect of soilheterogeneities on the model is studied in chapter 4 using homogenization techniques.Moreover, following the Bosatta and Agren methodology, we derive a continuousquality model taking in consideration the effect of age on the quality of SOM. Wevalidate the model mathematically and experimentally in chapter 5. Finally, weconsider in chapters 6 and 7 another model that takes into account the chemotaxismovement of soil microorganisms. We prove mainly the existence and uniqueness of apositive solution in a regular spatial domain of dimension less or equal to 3.
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Submitted on : Thursday, March 7, 2019 - 11:57:06 AM
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  • HAL Id : tel-02060264, version 1


Alaaeddine Hammoudi. Modeling and mathematical analysis of the dynamics of soil organic carbon. General Mathematics [math.GM]. Université Montpellier, 2015. English. ⟨NNT : 2015MONTS205⟩. ⟨tel-02060264⟩



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