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 Investigating the dynamics, synchronization and control of chaos within a transformed fractional SamardzijaGreller framework Subject The topic of the resource Active control synchronization; Caputo fractional derivative; Chaos control; Generalized AdamsBashforthMoulton method; SamardzijaGreller model Description An account of the resource In this article, in response to the limitations of existing ecological models, we address the critical need for a more comprehensive understanding of predatorprey dynamics by presenting a modified fractional SamardzijaGreller model that incorporates intra- and inter-species competitions within two predator populations. Our model stands out for being more realistic because it considers the natural competition that occurs among and between two predator species when they share a common prey We derived the local stability conditions at equilibrium points using RouthHurwitz conditions for the modified model. With the help of a suitably chosen Lyapunov function, we also obtained the global stability condition for our fractional model. The existence of chaos has been confirmed through Lyapunov exponents and bifurcation in the new system for two distinct sets of initial conditions for different fractional orders. Employing the active control method, we establish conditions for synchronization between these two fractional systems and introduce control functions for chaos management in the modified model. Numerical simulations, utilizing the generalized AdamsBashforthMoulton method, support the theoretical findings across a spectrum of fractional orders ranging from 0 to 1. We demonstrated the adaptability of the active control method for different fractional orders. A fractional order of ? equal to 1 for synchronization shows rapid convergence, but a drop to ? equal to 0.80 causes a substantial slowdown that takes almost six times more number of iterations to complete. Thus, we shed light on how the fractional order of the system plays a pivotal role in determining the speed of synchronization, with lower orders leading to a noticeable delay and higher fractional orders favoring faster synchronization. Our thorough investigation contributes to the understanding of complex ecological systems and offers practical insights into fractional chaos control mechanisms within the context of predatorprey models. 2024 Elsevier Ltd Creator An entity primarily responsible for making the resource Chakraborty A.; Veeresha P. Source A related resource from which the described resource is derived Chaos, Solitons and Fractals, Vol-182 Publisher An entity responsible for making the resource available Elsevier Ltd 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/10.1016/j.chaos.2024.114810" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.chaos.2024.114810</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189135802&amp;doi=10.1016%2Fj.chaos.2024.114810&amp;partnerID=40&amp;md5=221642841635c2f58a17217624c6a54d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189135802&amp;doi=10.1016%2fj.chaos.2024.114810&amp;partnerID=40&amp;md5=221642841635c2f58a17217624c6a54d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 9600779; CODEN: CSFOE 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 Chakraborty A., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India