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A process-based model on methane emission with its oxidation process from rice fields and corresponding control indices
Authors:A Chakraborty  D K Bhattacharaya
Institution:(1) Department of Mathematics, National Institute of Technology, Silchar, Assam, 788 010, India;(2) Department of Pure Mathematics, University of Calcutta, 35, Ballygange Circular Road, Kolkata 19, West Bengal, India;(3) Katwa, Atuhatpara, Bardhaman, West Bengal, 713 130, India
Abstract:In this paper, a mathematical model is developed for net methane emission from rice fields by coupling methane production model with methane oxidation model. Several dynamical regimes were formed through qualitative analysis of the model, and corresponding dynamic features were interpreted through emission indices. Sensitivity of the model is discussed under the effects of temperature and oxygen concentration in methanogenic and methane oxidation phases, respectively, and interpreted by defining an index; in addition, control parameters are identified and their threshold limits defined. The out-busting emission tendency of methane is considered separately and a forcing strategy was defined to force emission level towards zero in the long term. Lastly, a complete control strategy is proposed for reducing methane emission.
Keywords:methnaogenesis  basin of attraction  Monod type-1 kinetics  Monod type-2 kinetics  vulnerability analysis
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