Browsing Mathematics (Faculty of) by Author "Poulin, Francis J."

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

Tao, Yiwen; Campbell, Sue Ann; Poulin, Francis J. (SIAM, 2021-01)

We 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 ...
An Npz Model With State-Dependent Delay Due To Size-Structure In Juvenile Zooplankton

Kloosterman, Matt; Campbell, Sue Ann; Poulin, Francis J. (Society for Industrial and Applied Mathematics, 2016)

The study of planktonic ecosystems is important as they make up the bottom trophic levels of aquatic food webs. We study a closed nutrient-phytoplankton-zooplankton (NPZ) model that includes size structure in the juvenile ...
Realizing surface driven flows in the primitive equations

Bembenek, Eric; Poulin, Francis J; Waite, Michael L (American Meteorological Society, 2015-05)

The surface quasigeostrophic (SQG) model describes flows with surface buoyancy perturbations with no interior quasigeostrophic potential vorticity at small Rossby number Ro and O(1) Burger number, where quasigeostrophic ...