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dc.contributor.authorGrass, Dieter ( )
dc.contributor.authorUecker, Hannes ( )
dc.date.accessioned2022-03-11T16:15:37Z
dc.date.available2022-03-11T16:15:37Z
dc.date.issued2017-01-04
dc.identifier.citationGrass, D., & Uecker, H. (2017). Optimal management and spatial patterns in a distributed shallow lake model. Electronic Journal of Differential Equations, 2017(01), pp. 1-21en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15497
dc.description.abstractWe present a numerical framework to treat infinite time horizon spatially distributed optimal control problems via the associated canonical system derived by Pontryagin's maximum principle. The basic idea is to consider the canonical system in two steps. First we perform a bifurcation analysis of canonical steady states using the continuation and bifurcation package pde2path, yielding a number of so called flat and patterned canonical steady states. In a second step we link pde2path to the two point boundary value problem solver TOM to study time dependent canonical paths to steady states having the so called saddle point property. As an example we consider a shallow lake model with diffusion.en_US
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectOptimal controlen_US
dc.subjectPontryagin's maximum principleen_US
dc.subjectBioeconomicsen_US
dc.subjectCanonical steady statesen_US
dc.subjectConnecting orbitsen_US
dc.titleOptimal management and spatial patterns in a distributed shallow lake modelen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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