Stability analysis of a mathematical model for the abatement of methane: Effect of mitigation options

Autor: Ashish Kumar Mishra, Shyam Sundar, Ram Naresh, J. B. Shukla
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Computational Ecology and Software, Vol 11, Iss 2, Pp 54-68 (2021)
Druh dokumentu: article
ISSN: 2220-721X
Popis: Atmospheric methane is one of the main greenhouse gases which contribute significantly to increase the burden of global warming. The production of rice paddies and livestock farming are the major sources of methane emissions in the atmosphere. The control of methane emissions using some efficient mitigation options is crucial to lower the concentration of methane in the atmosphere so that the adverse effects of global warming can be reduced to some extent. In this paper, a nonlinear mathematical model is proposed to study the effects of mitigation options on abatement of methane discharged by rice paddies and livestock populations in the atmosphere. In the modeling process, four nonlinearly interacting variables namely, the cumulative density of rice paddies, the cumulative density of livestock populations, the atmospheric concentration of methane and the cumulative density of mitigation options are considered. The cumulative density of mitigation options is assumed to be proportional to the increased level of atmospheric methane concentration from its equilibrium. The proposed nonlinear model is analyzed using the stability theory of differential equations and computer simulations. The study shows that without implementation of mitigation options, the concentration of methane in the atmosphere increases continuously with increase in the rates of its emissions by rice paddies and livestock populations. This increase in the atmospheric methane can be reduced considerably by efficient management of mitigation options. The increase in the implementation rate coefficient of various mitigation options and depletion rate coefficient due to net effectiveness of mitigation options further reduces the atmospheric methane concentration. The numerical simulation of the model confirms the analytical findings.
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