Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematical model for effective CO2 emission control with forest biomass using fractional operator Subject The topic of the resource Boundness; Caputo fractional derivative; Forest biomass; Global warming; Lyapunov stability; Numerical method Description An account of the resource 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. Creator An entity primarily responsible for making the resource Sherly K.; Veeresha P. Source A related resource from which the described resource is derived Modeling Earth Systems and Environment, Vol-10, No. 4, pp. 5469-5488. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s40808-024-02073-5" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s40808-024-02073-5</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197383669&amp;doi=10.1007%2Fs40808-024-02073-5&amp;partnerID=40&amp;md5=2cce056d302c19b6a35efe4ed9e7fc99" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197383669&amp;doi=10.1007%2fs40808-024-02073-5&amp;partnerID=40&amp;md5=2cce056d302c19b6a35efe4ed9e7fc99</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23636203 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Sherly K., Department of Mathematics, CHRIST University, Bengaluru, 560029, India; Veeresha P., Department of Mathematics, CHRIST University, Bengaluru, 560029, India