A note for the global stability of a delay differential equation of hepatitis B virus infection
The global stability for a delayed HIV-1 infection model isinvestigated. It is shown that the global dynamics of the systemcan be completely determined by the reproduction number, and thechronic infected equilibrium of the system is globallyasymptotically stable whenever it exists. This improv...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.689 |
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| author | Bao-Zhu Guo Li-Ming Cai |
| author_facet | Bao-Zhu Guo Li-Ming Cai |
| author_sort | Bao-Zhu Guo |
| collection | DOAJ |
| description | The global stability for a delayed HIV-1 infection model isinvestigated. It is shown that the global dynamics of the systemcan be completely determined by the reproduction number, and thechronic infected equilibrium of the system is globallyasymptotically stable whenever it exists. This improves the relatedresults presented in [S. A. Gourley,Y. Kuang and J.D.Nagy,Dynamics of a delay differential equation model of hepatitis B virus infection, Journal of Biological Dynamics, 2(2008), 140-153]. |
| format | Article |
| id | doaj-art-38473cbb7d9b4358acca03bc697767d1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-38473cbb7d9b4358acca03bc697767d12025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018368969410.3934/mbe.2011.8.689A note for the global stability of a delay differential equation of hepatitis B virus infectionBao-Zhu Guo0Li-Ming Cai1Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190The global stability for a delayed HIV-1 infection model isinvestigated. It is shown that the global dynamics of the systemcan be completely determined by the reproduction number, and thechronic infected equilibrium of the system is globallyasymptotically stable whenever it exists. This improves the relatedresults presented in [S. A. Gourley,Y. Kuang and J.D.Nagy,Dynamics of a delay differential equation model of hepatitis B virus infection, Journal of Biological Dynamics, 2(2008), 140-153].https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.689hbv modeltime delay.lyapunov functionalglobal stability |
| spellingShingle | Bao-Zhu Guo Li-Ming Cai A note for the global stability of a delay differential equation of hepatitis B virus infection Mathematical Biosciences and Engineering hbv model time delay. lyapunov functional global stability |
| title | A note for the global stability of a delay differential equation of hepatitis B virus infection |
| title_full | A note for the global stability of a delay differential equation of hepatitis B virus infection |
| title_fullStr | A note for the global stability of a delay differential equation of hepatitis B virus infection |
| title_full_unstemmed | A note for the global stability of a delay differential equation of hepatitis B virus infection |
| title_short | A note for the global stability of a delay differential equation of hepatitis B virus infection |
| title_sort | note for the global stability of a delay differential equation of hepatitis b virus infection |
| topic | hbv model time delay. lyapunov functional global stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.689 |
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