Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection
In this paper, the dynamical behavior of a viral infection model with general incidence rate and two time delays is studied. By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. We obtai...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.525 |
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| author | Yu Ji |
| author_facet | Yu Ji |
| author_sort | Yu Ji |
| collection | DOAJ |
| description | In this paper, the dynamical behavior of a viral infection model with general incidence rate and two time delays is studied. By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. We obtain a threshold of the global stability for the uninfected equilibrium, which means the disease will be under control eventually. These results can be applied to a variety of viral infections of disease that would make it possible to devise optimal treatment strategies. Numerical simulations with application to HIV infection are given to verify the analytical results. |
| format | Article |
| id | doaj-art-c883c7400b0c42c4b4ff55f745576aba |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c883c7400b0c42c4b4ff55f745576aba2025-01-24T02:31:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-12-0112352553610.3934/mbe.2015.12.525Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infectionYu Ji0Department of Mathematics, Beijing Technology and Business University, Beijing, 100048In this paper, the dynamical behavior of a viral infection model with general incidence rate and two time delays is studied. By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. We obtain a threshold of the global stability for the uninfected equilibrium, which means the disease will be under control eventually. These results can be applied to a variety of viral infections of disease that would make it possible to devise optimal treatment strategies. Numerical simulations with application to HIV infection are given to verify the analytical results.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.525virus infectionstabilitytime delayhiv.general incidence rate |
| spellingShingle | Yu Ji Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection Mathematical Biosciences and Engineering virus infection stability time delay hiv. general incidence rate |
| title | Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection |
| title_full | Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection |
| title_fullStr | Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection |
| title_full_unstemmed | Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection |
| title_short | Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection |
| title_sort | global stability of a multiple delayed viral infection model with general incidence rate and an application to hiv infection |
| topic | virus infection stability time delay hiv. general incidence rate |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.525 |
| work_keys_str_mv | AT yuji globalstabilityofamultipledelayedviralinfectionmodelwithgeneralincidencerateandanapplicationtohivinfection |