Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate
Under the assumption that there is a time delay between the time target cells are contacted by the virus particles and the time the contacted cells become actively infected, we investigate the exponential stability of the noninfected equilibrium for a delayed HIV infection model with a nonlinear inc...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/8886322 |
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| _version_ | 1832562922186866688 |
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| author | Zhiwen Long |
| author_facet | Zhiwen Long |
| author_sort | Zhiwen Long |
| collection | DOAJ |
| description | Under the assumption that there is a time delay between the time target cells are contacted by the virus particles and the time the contacted cells become actively infected, we investigate the exponential stability of the noninfected equilibrium for a delayed HIV infection model with a nonlinear incidence rate. Compared with the global asymptotic stability analysis based on basic reproduction number, exponential stability analysis reveals the change range of various cells in different time periods. |
| format | Article |
| id | doaj-art-03f7777a76ed4cd0bd118b098bfaa40e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-03f7777a76ed4cd0bd118b098bfaa40e2025-02-03T01:21:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/88863228886322Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence RateZhiwen Long0School of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi 417000, Hunan, ChinaUnder the assumption that there is a time delay between the time target cells are contacted by the virus particles and the time the contacted cells become actively infected, we investigate the exponential stability of the noninfected equilibrium for a delayed HIV infection model with a nonlinear incidence rate. Compared with the global asymptotic stability analysis based on basic reproduction number, exponential stability analysis reveals the change range of various cells in different time periods.http://dx.doi.org/10.1155/2021/8886322 |
| spellingShingle | Zhiwen Long Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate Discrete Dynamics in Nature and Society |
| title | Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate |
| title_full | Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate |
| title_fullStr | Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate |
| title_full_unstemmed | Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate |
| title_short | Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate |
| title_sort | global exponential stability of a delayed hiv infection model with a nonlinear incidence rate |
| url | http://dx.doi.org/10.1155/2021/8886322 |
| work_keys_str_mv | AT zhiwenlong globalexponentialstabilityofadelayedhivinfectionmodelwithanonlinearincidencerate |