Modelling and analysis of a delayed viral infection model with follicular dendritic cell
In this paper, we propose a new viral infection model by incorporating a new compartment for follicular dendritic cell (FDC), nonlinear incidence, CTL immune response, and two intracellular delays. The main purpose of the paper is to make an improvement and supplement to the global dynamics of the m...
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| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024236 |
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| author | Yan Geng Jinhu Xu |
| author_facet | Yan Geng Jinhu Xu |
| author_sort | Yan Geng |
| collection | DOAJ |
| description | In this paper, we propose a new viral infection model by incorporating a new compartment for follicular dendritic cell (FDC), nonlinear incidence, CTL immune response, and two intracellular delays. The main purpose of the paper is to make an improvement and supplement to the global dynamics of the model proposed by Callaway and Perelson (2002), in which global stability has not been studied. The global stabilities of equilibria are established by constructing corresponding Lyapunov functionals in terms of two threshold parameters, $ \mathfrak{R}_0 $ and $ \mathfrak{R}_1 $. The obtained results imply that both nonlinear incidence and intracellular time delays have no impact on the stability of the model. |
| format | Article |
| id | doaj-art-dafe21e809e64eef824abf37708014d7 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-dafe21e809e64eef824abf37708014d72025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013285127513810.3934/era.2024236Modelling and analysis of a delayed viral infection model with follicular dendritic cellYan Geng0Jinhu Xu1School of Science, Xi'an Polytechnic University, Xi'an 710048, ChinaSchool of Sciences, Xi'an University of Technology, Xi'an 710048, ChinaIn this paper, we propose a new viral infection model by incorporating a new compartment for follicular dendritic cell (FDC), nonlinear incidence, CTL immune response, and two intracellular delays. The main purpose of the paper is to make an improvement and supplement to the global dynamics of the model proposed by Callaway and Perelson (2002), in which global stability has not been studied. The global stabilities of equilibria are established by constructing corresponding Lyapunov functionals in terms of two threshold parameters, $ \mathfrak{R}_0 $ and $ \mathfrak{R}_1 $. The obtained results imply that both nonlinear incidence and intracellular time delays have no impact on the stability of the model.https://www.aimspress.com/article/doi/10.3934/era.2024236follicular dendritic cellintracellular time delaysnonlinear incidenceglobal stabilitylyapunov functionals |
| spellingShingle | Yan Geng Jinhu Xu Modelling and analysis of a delayed viral infection model with follicular dendritic cell Electronic Research Archive follicular dendritic cell intracellular time delays nonlinear incidence global stability lyapunov functionals |
| title | Modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| title_full | Modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| title_fullStr | Modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| title_full_unstemmed | Modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| title_short | Modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| title_sort | modelling and analysis of a delayed viral infection model with follicular dendritic cell |
| topic | follicular dendritic cell intracellular time delays nonlinear incidence global stability lyapunov functionals |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024236 |
| work_keys_str_mv | AT yangeng modellingandanalysisofadelayedviralinfectionmodelwithfolliculardendriticcell AT jinhuxu modellingandanalysisofadelayedviralinfectionmodelwithfolliculardendriticcell |