Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; on the Climate Change

Etin-Osa, Bazuaye Frank; Azubike, Ijomah Maxwell

doi:10.11648/j.acm.20200903.16

Cited by 1 publication

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“…As part of the global solution-seeking process, there is the need to develop some mathematical models of climate change due to carbon dioxide emission and accumulation by incorporating some mitigation measures into the model. A number of mathematical models on climate change attributable to excessive emission of carbon dioxide have been developed [11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a fractional order climate model due to excessive emission and accumulation of carbon dioxide in the atmosphere

Achimugwu,

Kinyanjui,

Malonza

2023

J. Nig. Soc. Phys. Sci.

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The devastating consequences of climate change on our planet cannot be taken lightly. Greenhouse gas emissions due to the various activities of the increasing human population are solely responsible for this change. The chief and most significant of these gases is carbon dioxide. A fractional-order model of five compartments is considered. The uniqueness and existence, the positivity, and the boundedness of the model solution are established. The equilibrium points of the model are given. By formulating different Lyapunov functions, the global stability of the four equilibrium points was determined. The numerical simulation of the model was done using the Predict-Evaluate-Correct-Evaluate method of Adam-Bashforth-Moulton by considering four different orders of 0.7, 0.8, 0.9, and 1.0. According to the results, excessive concentrations of carbon dioxide in the atmosphere can be reduced by the joint employment of mitigation measures.

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