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 Faculty Publications 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/. Creator An entity primarily responsible for making the resource Chakraborty, Arkaprovo; Mukherjee, Nayana; Veeresha, P. Title A name given to the resource Diffusive instability, patterns and limit cycles in a slow-fast generalized SamardzijaGreller model: a multiscale approach Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Nonlinear Dynamics;Volume;113;Issue;14;Article No.;33127;pp.18037-18058 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s11071-025-11022-5" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s11071-025-11022-5</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105003033683?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105003033683?origin=resultslist</a> 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; Mukherjee N., Department of Mathematics, Mahindra University, Hyderabad, 500043, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India Description An account of the resource The SamardzijaGreller model is an extension of the classical LotkaVolterra predatorprey system, and this paper investigates the multiscale dynamics in a modified SamardzijaGreller model to take into account the slower timescales in predator reactions rather than prey. We present a comprehensive local stability analysis, pattern formation through diffusive instability and fractional Hopf bifurcations. The analysis of the spatio-temporal model reveals the effects of diffusion coefficients and parameter variations on the dynamical behavior of the slow-fast system. By analyzing the systems response to changes in the self-diffusion rate of the prey (dX), the intra-species competition rate of the first predator (d1) and the interaction parameter a, we observe chaotic patterns for small values of a, particularly when the prey exhibits strong diffusion. Increases in a lead to the emergence of regular, periodic patterns that are homogeneous in space. We discuss in detail how fractional-order models create memory effects that inhibit chaotic transitions, potentially being delayed or avoided in the temporal model. The study shows clear differences in the dynamical regimes between the integer-order and the fractional-order models. The latter model gives more significance to the stabilization effect of the fractional-order derivative on ecological systems and improves our understanding of predatorprey interactions under different parameter settings. Findings clarify the potential to derive ecological stability from emergent patterns and transition into a better understanding of complex ecological processes. The Author(s), under exclusive licence to Springer Nature B.V. 2025. Subject The topic of the resource Caputo fractional derivative; Chaos; Fractional Hopf bifurcation; Pattern formation; SamardzijaGreller model Publisher An entity responsible for making the resource available Springer Science and Business Media B.V. Relation A related resource ISSN: 0924090X; CODEN: NODYE Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online