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- Title
Mathematical analysis of a spatially distributed soil carbon dynamics model.
- Authors
Hammoudi, Alaaeddine; Iosifescu, Oana; Bernoux, Martial
- Abstract
The aim of this paper is to study the mathematical properties of a new model of soil carbon dynamics which is a reaction-diffusion-advection system with a quadratic reaction term. This is a spatial version of Modeling Organic changes by Micro-Organisms of Soil model, recently introduced by M. Pansu and his group. We show here that for any nonnegative initial condition, there exists a unique nonnegative weak solution. Moreover, if we assume time periodicity of model entries, taking into account seasonal effects, we prove existence of a minimal and a maximal periodic weak solution. In a particular case, these two solutions coincide and they become a global attractor of any bounded solution of the periodic system.
- Subjects
CARBON in soils; MATHEMATICAL analysis; HUMUS analysis; REACTION-diffusion equations; SOIL microbiology; MATHEMATICAL models
- Publication
Analysis & Applications, 2017, Vol 15, Issue 6, p771
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530516500081