Mathematical model for effective CO2 emission control with forest biomass using fractional operator

Title

Mathematical model for effective CO2 emission control with forest biomass using fractional operator

Creator

Sherly K.; Veeresha P.

Description

The emission of CO2 is the foremost culprit for global warming and is also considered a significant greenhouse gas. Due to the human populations tremendous growth and activities, the rate of CO2 in the atmosphere has increased. To mitigate the emission of CO2 there are artificial ways. But, naturally have a natural resource called "Forest Biomass," one of the significant sinks to absorb CO2 during photosynthesis. Considering all these factors, the main objective of the current investigation is to understand and illustrate the importance of forest biomass in the emission of CO2. The proposed nonlinear model consists of four variables: atmospheric CO2, human population, energy sectors, and forest biomass. We have studied the model both qualitatively and quantitatively, which will help us make future predictions. To study the model in depth, we have formed a fractional-order model to study the systems behavior at different ranges of fractional orders. The model is termed with the Caputo fractional operator. Boundness and Lyapunov stability for non-linear and fractional order models are studied, and equilibrium points, existence and uniqueness, and numerical simulation are examined. The Adams-Bashforth-Moulton method illustrates the essence of the systems numerical method. The numerical approach reveals that the altered models stability is unchanged. Also, we have examined the model by changing the parameter values to different fractional orders to understand the systems behavior, and the changes are captured as figures. The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Source

Modeling Earth Systems and Environment, Vol-10, No. 4, pp. 5469-5488.

Date

2024-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

Boundness; Caputo fractional derivative; Forest biomass; Global warming; Lyapunov stability; Numerical method

Coverage

Sherly K., Department of Mathematics, CHRIST University, Bengaluru, 560029, India; Veeresha P., Department of Mathematics, CHRIST University, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 23636203

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1007/s40808-024-02073-5

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