@article{stojsavljevic_pinter_lauko_myers_2019, title={PARAMETER IDENTIFICATION AND SENSITIVITY ANALYSIS FOR A PHYTOPLANKTON COMPETITION MODEL}, volume={77}, ISSN={["1552-4485"]}, DOI={10.1090/qam/1514}, abstractNote={Phytoplankton live in a complex environment with two essential resources, light and nutrients, forming various gradients. Light supplied from above is never homogeneously distributed in a body of water due to refraction and absorption from biomass present in the ecosystem and other sources. Nutrients in turn are typically supplied from below mixed-up by diffusion from the benthic region. Here we present a model of two phytoplankton species competing in a deep freshwater lake for light and two nutrients, one of which is assumed to be preferred. The model is comprised of a system of non- linear, non-local partial differential equations with appropriate boundary conditions. The parameter space of the model is analyzed for parameter identifiability - the ability for a parameter’s true value to be recovered through optimization, and for global sensitivity - the influence a parameter has on model response. The results of these analyses are interpreted within their biological context.}, number={1}, journal={QUARTERLY OF APPLIED MATHEMATICS}, author={Stojsavljevic, Thomas and Pinter, Gabriella and Lauko, Istvan and Myers, Nicholas}, year={2019}, month={Mar}, pages={1–18} } @article{byrnes_lauko_gilliam_shubov_2000, title={Output regulation for linear distributed parameter systems}, volume={45}, number={12}, journal={IEEE Transactions on Automatic Control}, author={Byrnes, C. I. and Lauko, I. G. and Gilliam, D. S. and Shubov, V. I.}, year={2000}, pages={2236–2252} }