Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/24088
PIRA download icon_1.1View/Download Full Text
DC FieldValueLanguage
dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorFan, Gen_US
dc.creatorLou, Yen_US
dc.creatorThieme, HRen_US
dc.creatorWu, Jen_US
dc.date.accessioned2015-07-13T10:34:38Z-
dc.date.available2015-07-13T10:34:38Z-
dc.identifier.issn1547-1063en_US
dc.identifier.urihttp://hdl.handle.net/10397/24088-
dc.language.isoenen_US
dc.publisherArizona State Universityen_US
dc.rights© 2015 the Author(s), licensee AIMS Press.en_US
dc.rightsThis is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)en_US
dc.rightsThe following publication Fan, G., Lou, Y., Thieme, H. R., & Wu, J. (2015). Stability and persistence in ODE models for populations with many stages. Mathematical Biosciences & Engineering, 12(4), 661-686 is available at https://doi.org/10.3934/mbe.2015.12.661en_US
dc.subjectBasic reproduction numberen_US
dc.subjectBoundednessen_US
dc.subjectEquilibria (existence, Lyapunov functions, and stability)en_US
dc.subjectExtinctionen_US
dc.subjectPersistenceen_US
dc.subjectUniquenessen_US
dc.titleStability and persistence in ODE models for populations with many stagesen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage661en_US
dc.identifier.epage686en_US
dc.identifier.volume12en_US
dc.identifier.issue4en_US
dc.identifier.doi10.3934/mbe.2015.12.661en_US
dcterms.abstractA model of ordinary differential equations is formulated for populations which are structured by many stages. The model is motivated by ticks which are vectors of infectious diseases, but is general enough to apply to many other species. Our analysis identifies a basic reproduction number that acts as a threshold between population extinction and persistence. We establish conditions for the existence and uniqueness of nonzero equilibria and show that their local stability cannot be expected in general. Boundedness of solutions remains an open problem though we give some sufficient conditions.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationMathematical biosciences and engineering, 2015, v. 12, no. 4, p. 661-686en_US
dcterms.isPartOfMathematical Biosciences and Engineeringen_US
dcterms.issued2015-
dc.identifier.scopus2-s2.0-84927654807-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumbera0853-n04-
dc.identifier.SubFormID2061-
dc.description.fundingSourceOthersen_US
dc.description.fundingTextNSFCen_US
dc.description.pubStatusPublisheden_US
dc.description.oaCategoryCCen_US
Appears in Collections:Journal/Magazine Article
Files in This Item:
File Description SizeFormat 
Fan_Stability_Persistenceode_Models.pdf393.31 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Version of Record
Access
View full-text via PolyU eLinks SFX Query
Show simple item record

Page views

154
Last Week
0
Last month
Citations as of May 11, 2025

Downloads

59
Citations as of May 11, 2025

SCOPUSTM   
Citations

13
Last Week
1
Last month
0
Citations as of May 8, 2025

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.