Show simple item record

dc.contributor.authorHe, Ze-Rong ( )
dc.contributor.authorZhou, Nan ( )
dc.date.accessioned2021-09-29T20:34:53Z
dc.date.available2021-09-29T20:34:53Z
dc.date.issued2020-06-11
dc.identifier.citationHe, Z. R., & Zhou, N. (2020). Controllability and stabilization of a nonlinear hierarchical age-structured competing system. Electronic Journal of Differential Equations, 2020(58), pp. 1-16.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14565
dc.description.abstractThis article concerns the approximate controllability of a biological system, which is composed of two hierarchical age-structured competing species. Basing on a controllability result of linear system, we prove that the nonlinear system is approximately controllable by means of a fixed point theorem for multi-valued mappings. To fix a suitable control policy, we deal with an optimal control problem and established the existence of the unique optimal strategy. In addition, the stabilization problem of the system is also considered.en_US
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHierarchy of ageen_US
dc.subjectPopulation systemen_US
dc.subjectCompetitionen_US
dc.subjectControllabilityen_US
dc.subjectFan-Glicksberg fixed pointsen_US
dc.titleControllability and stabilization of a nonlinear hierarchical age-structured competing systemen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record