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 Fractional approach for mathematical model of phytoplankton-toxic phytoplankton-zooplankton system with Mittag-Leffler kernel Subject The topic of the resource Atangana-Baleanu derivative; Laplace transform; q -HATM; stability analysis; Toxic-phytoplankton; zooplankton Description An account of the resource The solution for phytoplankton-toxic phytoplankton-zooplankton system with q-homotopy analysis transform method (q-HATM) is discussed. The projected system exemplifies three components (namely, zooplankton, toxic-phytoplankton as well as phytoplankton) and the corresponding nonlinear ordinary differential equations exemplify the zooplankton feeds on phytoplankton. The projected method is an amalgamation of q-homotopy analysis algorithm and Laplace transform and the derivative associated with the Atangana-Baleanu (AB) operator. The equilibrium points and stability have been discussed with the assistance of the Routh-Hurwitz rule in this work within the frame of generalized calculus. The fixed-point theorem is employed to present the existence and uniqueness of the attained result for the considered model, and we consider five different initial conditions for the projected system. Further, the physical nature of the achieved solution has been captured for fractional order, external force and diverse mass. The achieved consequences explicate that the proposed solution method is highly methodical, easy to implement and accurate to analyze the behavior of the nonlinear system relating to allied areas of science and technology. 2023 World Scientific Publishing Company. Creator An entity primarily responsible for making the resource Veeresha P.; Akinyemi L. Source A related resource from which the described resource is derived International Journal of Biomathematics, Vol-16, No. 3 Publisher An entity responsible for making the resource available World Scientific 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/10.1142/S1793524522500905" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S1793524522500905</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143610487&amp;doi=10.1142%2FS1793524522500905&amp;partnerID=40&amp;md5=f1d0efbe46d17bd773f71b39229218d4" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143610487&amp;doi=10.1142%2fS1793524522500905&amp;partnerID=40&amp;md5=f1d0efbe46d17bd773f71b39229218d4</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17935245 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 Veeresha P., Department of Mathematics, Centre for Mathematical Needs, CHRIST (Deemed to be University), Bengaluru, 560029, India; Akinyemi L., Department of Mathematics, Lafayette College, Easton, PA, United States