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 Alraddadi, Ibrahim; Perumal, Ramesh; Ahmed, Rizwan; Khan, Jawad; Lee, Youngmoon Title A name given to the resource Stability and bifurcation analysis of a fractional-order preypredator model with ratio-dependent functional response Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2026 Source A related resource from which the described resource is derived AIMS Mathematics;Volume;11;Issue;1;pp.1412-1448 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.3934/math.2026060" target="_blank" rel="noreferrer noopener">https://doi.org/10.3934/math.2026060</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105028597124?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105028597124?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 Alraddadi I., Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia; Perumal R., Department of Mathematics, Madanapalle Institute of Technology &amp; Science (MITS), Deemed to be University, Madanapalle,, Andhra, Pradesh, India; Ahmed R., Department of Mathematics, Air University Multan Campus, Multan, 60001, Pakistan; Khan J., School of Computing, Gachon University, Seongnam, 13120, South Korea; Lee Y., Department of Robotics, Hanyang University, Ansan, 15588, South Korea, Department of Applied AI, Hanyang University, Ansan, 15588, South Korea Description An account of the resource This paper explores the dynamics of a fractional preypredator system with a ratio-dependent functional response with memory and hereditary effects in predatorprey interactions. The model is developed by the Caputo fractional derivative, and the existence, uniqueness, positivity, and boundedness of solutions are proven to satisfy biological reality. Stability conditions for local and global stability of both predator-free and coexistence equilibria are proven through linearization and Lyapunov function techniques. The fractional order is used as a bifurcation parameter, and the appearance of Hopf bifurcations is analytically explained with demonstration of the influence of memory on oscillations. To examine discrete-time dynamics, the piecewise constant argument is used to derive a discrete counterpart of the fractional model. The discrete model indicates a wide range of rich complex oscillatory phenomena, including period-doubling and NeimarkSacker bifurcations, leading to periodic, quasiperiodic, and chaotic oscillations. Numerical computations, including bifurcation diagrams, phase portraits, and Lyapunov exponents, verify the analytical results and describe the routes of transition to chaos. A comparative analysis to compare integer- and fractional-order cases indicates that memory effects enhance dynamical richness and sensitivity to parameters. The study provides a unified framework relating continuous fractional dynamics and their discrete implementations and provides additional insight into how memory and discretization interact to modify stability and bifurcation in ecological models. 2026 the Author(s), Subject The topic of the resource bifurcation; chaos; fractional-order; preypredator model; stability Publisher An entity responsible for making the resource available American Institute of Mathematical Sciences Relation A related resource ISSN: 24736988; 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 All Open Access; Gold Open Access Format The file format, physical medium, or dimensions of the resource online