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Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay

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dc.contributor.authorTao, Yiwen
dc.contributor.authorCampbell, Sue Ann
dc.contributor.authorPoulin, Francis J.
dc.date.accessioned2022-04-14T18:05:20Z
dc.date.available2022-04-14T18:05:20Z
dc.date.embargountil2023-01-14
dc.date.issued2021-01
dc.descriptionFirst Published in SIAM Journal on Applied Mathematics in 81(6), 2021 published by the Society for Industrial and Applied Mathematics (SIAM) Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.en
dc.description.abstractWe study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We advance the understanding of the local stability for equilibrium solutions of the NPZ model by proposing a new local stability theorem for generalized three-dimensional systems. Using a specific delay kernel, we perform a qualitative analysis of the solutions, including existence, uniqueness, and boundedness of the solutions, global stability of the trivial equilibrium, and Hopf bifurcation of the nontrivial equilibrium. Numerical simulations are also performed to verify and supplement our analytical results. We show that diffusion predominantly has a stabilizing effect; however, if sufficient nutrient is present, complex spatio-temporal dynamics may occur.en
dc.identifier.urihttps://doi.org/10.1137/20M1378065
dc.identifier.urihttp://hdl.handle.net/10012/18151
dc.language.isoenen
dc.publisherSIAMen
dc.relation.ispartofseriesSIAM journal on applied mathematics;
dc.subjectplanktonen
dc.subjectdiffusionen
dc.subjectspatio-temporal delayen
dc.subjectstabilityen
dc.subjectbifurcationen
dc.titleDynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delayen
dc.typeArticleen
dcterms.bibliographicCitationTao, Y., Campbell, S. A., & Poulin, F. J. (2021). Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay. SIAM Journal on Applied Mathematics. https://doi.org/10.1137/20M1378065en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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