Global dynamics of a HTLV-I infection model with CTL response
In this paper, a HTLV-I infection model with CTL response is considered. To account for a series of events in infection process, we incorporate a intracellular time delay in the model. We prove that the global dynamics are determined by two threshold parameters $R_0$ and $R_1$, basic reproduction n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2223 |
| _version_ | 1797830660276092928 |
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| author | Xinguo Sun Junjie Wei |
| author_facet | Xinguo Sun Junjie Wei |
| author_sort | Xinguo Sun |
| collection | DOAJ |
| description | In this paper, a HTLV-I infection model with CTL response is considered. To account for a series of events in infection process, we incorporate a intracellular time delay in the model. We prove that the global dynamics are determined by two threshold parameters $R_0$ and $R_1$, basic reproduction numbers for viral infection and for CTL response, respectively. If $R_0<1$, the infection-free equilibrium $P_0$ is globally asymptotically stable. If $R_1<1<R_0$, the asymptomatic-carrier equilibrium $P_1$ is globally asymptotically stable. If $R_1>1$, there exists a unique HAM/TSP equilibrium $P_2$, and the equilibrium $P_2$ is asymptotically stable under certain conditions. |
| first_indexed | 2024-04-09T13:39:37Z |
| format | Article |
| id | doaj.art-9750944a6af343ccbfb6f98a382a2e5c |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:37Z |
| publishDate | 2013-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-9750944a6af343ccbfb6f98a382a2e5c2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-07-0120134011510.14232/ejqtde.2013.1.402223Global dynamics of a HTLV-I infection model with CTL responseXinguo Sun0Junjie Wei1Harbin Institute of Technology, Harbin, P. R. ChinaHarbin Institute of Technology, Harbin, P. R. ChinaIn this paper, a HTLV-I infection model with CTL response is considered. To account for a series of events in infection process, we incorporate a intracellular time delay in the model. We prove that the global dynamics are determined by two threshold parameters $R_0$ and $R_1$, basic reproduction numbers for viral infection and for CTL response, respectively. If $R_0<1$, the infection-free equilibrium $P_0$ is globally asymptotically stable. If $R_1<1<R_0$, the asymptomatic-carrier equilibrium $P_1$ is globally asymptotically stable. If $R_1>1$, there exists a unique HAM/TSP equilibrium $P_2$, and the equilibrium $P_2$ is asymptotically stable under certain conditions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2223htlv-i infection; ctl response; time delay; lyapunov functional; global stability. |
| spellingShingle | Xinguo Sun Junjie Wei Global dynamics of a HTLV-I infection model with CTL response Electronic Journal of Qualitative Theory of Differential Equations htlv-i infection; ctl response; time delay; lyapunov functional; global stability. |
| title | Global dynamics of a HTLV-I infection model with CTL response |
| title_full | Global dynamics of a HTLV-I infection model with CTL response |
| title_fullStr | Global dynamics of a HTLV-I infection model with CTL response |
| title_full_unstemmed | Global dynamics of a HTLV-I infection model with CTL response |
| title_short | Global dynamics of a HTLV-I infection model with CTL response |
| title_sort | global dynamics of a htlv i infection model with ctl response |
| topic | htlv-i infection; ctl response; time delay; lyapunov functional; global stability. |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2223 |
| work_keys_str_mv | AT xinguosun globaldynamicsofahtlviinfectionmodelwithctlresponse AT junjiewei globaldynamicsofahtlviinfectionmodelwithctlresponse |