Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis
A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied. The basic reproductive number R0 is derived. It is proved that the dynamics of the model can be determined completely by the magnitude of R0. The infection-free e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/132781 |
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| _version_ | 1832553004230770688 |
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| author | Sumei Li Yicang Zhou |
| author_facet | Sumei Li Yicang Zhou |
| author_sort | Sumei Li |
| collection | DOAJ |
| description | A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is
formulated and studied. The basic reproductive number R0 is derived. It is proved that the dynamics of the model can
be determined completely by the magnitude of R0. The infection-free equilibrium is globally asymptotically stable
(unstable) if R0<1 (R0>1). There exists a chronic infection equilibrium and it is globally asymptotically stable if R0>1. |
| format | Article |
| id | doaj-art-b0862df8464b42adad1a1b2fb9d53994 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b0862df8464b42adad1a1b2fb9d539942025-02-03T05:57:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/132781132781Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and MitosisSumei Li0Yicang Zhou1Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, ChinaDepartment of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, ChinaA mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied. The basic reproductive number R0 is derived. It is proved that the dynamics of the model can be determined completely by the magnitude of R0. The infection-free equilibrium is globally asymptotically stable (unstable) if R0<1 (R0>1). There exists a chronic infection equilibrium and it is globally asymptotically stable if R0>1.http://dx.doi.org/10.1155/2014/132781 |
| spellingShingle | Sumei Li Yicang Zhou Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis Abstract and Applied Analysis |
| title | Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis |
| title_full | Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis |
| title_fullStr | Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis |
| title_full_unstemmed | Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis |
| title_short | Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis |
| title_sort | global dynamics of an htlv 1 model with cell to cell infection and mitosis |
| url | http://dx.doi.org/10.1155/2014/132781 |
| work_keys_str_mv | AT sumeili globaldynamicsofanhtlv1modelwithcelltocellinfectionandmitosis AT yicangzhou globaldynamicsofanhtlv1modelwithcelltocellinfectionandmitosis |