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 Book Chapter Book Chapter Faculty Publications- Book Chapter 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 Analysis of a Fractional Stage-Structured Model With CrowleyMartin Type Functional Response by Lagrange Polynomial Based Method Subject The topic of the resource Caputo fractional derivative; CrowleyMartin type functional response; Holling type; Lagrange polynomial based method; Stage-structured model Description An account of the resource The dynamics of a stage-structured predator-prey system that replicates interactions between two densities of prey and predator populations were investigated in this work. The adult predator population and the juvenile predator are the two compartments that make up the predator population in the model. The predator relies on both prey and juvenile predator, which is another element of the paradigm that can be termed cannibalism. CrowleyMartin type functional denotes the nature of the interaction between prey and adult predators, while Holling type-I functional response denotes the nature of contact between juvenile and adult predators. The concept of memory is introduced in the form of the Caputo fractional derivative to reflect the complicated dynamics of interaction among the species. As a result, the model is able to incorporate all relevant historical information about the occurrence, from its inception to the desired time, into its calculations. We have also investigated the boundedness and existence and uniqueness of solutions to the proposed model. The condition of existence and stability of various points of equilibrium are investigated. The numerical simulations are performed by using the Lagrange polynomial-based method which is novel in the field of mathematical biology. Simulations have been accomplished to examine the significance of parameters related to cannibalism, the conversion rate from prey to adult predator, harvesting of an adult predator, and growth rate of juvenile predators on the overall behavior of the system. The noteworthy performance of the fractional operator on the anticipated predator-prey models dynamical behavior is well demonstrated by numerical results. The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023. Creator An entity primarily responsible for making the resource Baishya C.; Veeresha P. Source A related resource from which the described resource is derived Studies in Computational Intelligence, Vol-1109, pp. 149-180. 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 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/978-981-99-5001-0_7" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/978-981-99-5001-0_7</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174903373&amp;doi=10.1007%2F978-981-99-5001-0_7&amp;partnerID=40&amp;md5=b4e4b94f39822ee2223cfa05b0cb9d50" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174903373&amp;doi=10.1007%2f978-981-99-5001-0_7&amp;partnerID=40&amp;md5=b4e4b94f39822ee2223cfa05b0cb9d50</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 1860949X 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 Book chapter Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, India; Veeresha P., Department of Mathematics, Center for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, 560029, India