Publication
Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
| dc.contributor.author | Duarte, Jorge | |
| dc.contributor.author | Januário, Cristina | |
| dc.contributor.author | Martins, Nuno | |
| dc.date.accessioned | 2022-07-14T09:04:56Z | |
| dc.date.available | 2022-07-14T09:04:56Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | Mathematical analysis of nonlinear models in epidemiology has generated a deep interest in gaining insights into the mechanisms that underlie hepatitis C virus (HCV) infections. In this article, we provide a study of a chronic HCV infection model with immune response, incorporating the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL). Considering very recent developments in the literature related to the Homotopy Analysis Method (HAM), we calculate the explicit series solutions of the HCV model, focusing our analysis on a particular set of dynamical variables. An optimal homotopy analysis approach is used to improve the computational efficiency of HAM by means of appropriate values for a convergence control parameter, which greatly accelerates the convergence of the series solutions. The approximated analytical solutions, with the variation of a parameter representing the expansion rate of CTL, are used to compute density plots, which allow us to discuss additional dynamical features of the model. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | DUARTE, Jorge; JANUÁRIO, Cristina; MARTINS, Nuno – Homotopy analysis of explicit solutions in a chronic hepatitis C virus model. Applied Mathematical Sciences. ISSN 0066-5452. Vol. 15, N.º 1 (2021), pp. 15-32. | pt_PT |
| dc.identifier.doi | 10.12988/ams.2021.914241 | pt_PT |
| dc.identifier.eissn | 2196-968X | |
| dc.identifier.issn | 0066-5452 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/14833 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation | Center for Research and Development in Mathematics and Applications | |
| dc.relation | Center for Mathematical Analysis, Geometry and Dynamical Systems | |
| dc.relation.publisherversion | http://www.m-hikari.com/ams/ams-2021/ams-1-4-2021/p/duarteAMS1-4-2021.pdf | pt_PT |
| dc.subject | HCV infection model | pt_PT |
| dc.subject | Nonlinear differential equations | pt_PT |
| dc.subject | Explicit series solutions | pt_PT |
| dc.subject | Optimal homotopy analysis procedures | pt_PT |
| dc.title | Homotopy analysis of explicit solutions in a chronic hepatitis C virus model | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Research and Development in Mathematics and Applications | |
| oaire.awardTitle | Center for Mathematical Analysis, Geometry and Dynamical Systems | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04459%2F2013/PT | |
| oaire.citation.endPage | 32 | pt_PT |
| oaire.citation.issue | 1 | pt_PT |
| oaire.citation.startPage | 15 | pt_PT |
| oaire.citation.title | Applied Mathematical Sciences | pt_PT |
| oaire.citation.volume | 15 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Duarte | |
| person.familyName | Januário | |
| person.givenName | Jorge | |
| person.givenName | Cristina | |
| person.identifier.ciencia-id | BC1D-1E83-E2B2 | |
| person.identifier.ciencia-id | 101B-390C-E67C | |
| person.identifier.orcid | 0000-0003-2641-3199 | |
| person.identifier.orcid | 0000-0002-6978-876X | |
| person.identifier.orcid | 0000-0003-2173-0101 | |
| person.identifier.rid | G-7261-2011 | |
| person.identifier.scopus-author-id | 35310049800 | |
| person.identifier.scopus-author-id | 56526791400 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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