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http://hdl.handle.net/10773/23888
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DC Field | Value | Language |
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dc.contributor.author | Rocha, Diana | pt_PT |
dc.contributor.author | Silva, Cristiana J. | pt_PT |
dc.contributor.author | Torres, Delfim F. M. | pt_PT |
dc.date.accessioned | 2018-07-27T14:25:55Z | - |
dc.date.available | 2018-07-27T14:25:55Z | - |
dc.date.issued | 2018-04 | - |
dc.identifier.issn | 0170-4214 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/23888 | - |
dc.description.abstract | We propose and investigate a delayed model that studies the relationship between HIV and the immune system during the natural course of infection and in the context of antiviral treatment regimes. Sufficient criteria for local asymptotic stability of the infected and viral free equilibria are given. An optimal control problem with time delays both in state variables (incubation delay) and control (pharmacological delay) is then formulated and analyzed, where the objective consists to find the optimal treatment strategy that maximizes the number of uninfected $CD4^{+}$ T cells as well as CTL immune response cells, keeping the drug therapy as low as possible. | pt_PT |
dc.description.sponsorship | This research was partially supported by the Portuguese Foundation for Science and Technology (FCT) within projects UID/MAT/04106/2013 (CIDMA) and PTDC/EEI-AUT/2933/2014 (TOCCATTA), co-funded by FEDER funds through COMPETE2020– Programa Operacional Competitividade e Internacionalização (POCI) and by Project 3599-PPCDT, and by national funds (FCT). Rocha is also supported by the FCT PhD fellowship SFRH/BD/107889/2015; Silva by the FCT post-doc fellowship SFRH/BPD/72061/2010. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Wiley | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBPD%2F72061%2F2010/PT | pt_PT |
dc.rights | restrictedAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | HIV modeling | pt_PT |
dc.subject | Incubation and pharmacological time delays | pt_PT |
dc.subject | Stability | pt_PT |
dc.subject | Optimal control | pt_PT |
dc.title | Stability and optimal control of a delayed HIV model | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 2251 | pt_PT |
degois.publication.issue | 6 | pt_PT |
degois.publication.lastPage | 2260 | pt_PT |
degois.publication.title | Mathematical Methods in the Applied Sciences | pt_PT |
degois.publication.volume | 41 | pt_PT |
dc.identifier.doi | 10.1002/mma.4207 | pt_PT |
dc.identifier.essn | 1099-1476 | pt_PT |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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documento.pdf | 1.03 MB | Adobe PDF |
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