Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection
This paper studies an (n + 4)-dimensional nonlinear viral infection model that characterizes the interactions of the viruses, susceptible host cells, n-stages of infected cells, CTL cells and B cells. Both viral and cellular infections have been incorporated into the model. The well-posedness of the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020030?viewType=HTML |
| _version_ | 1818873391602466816 |
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| author | N. H. AlShamrani A. M. Elaiw |
| author_facet | N. H. AlShamrani A. M. Elaiw |
| author_sort | N. H. AlShamrani |
| collection | DOAJ |
| description | This paper studies an (n + 4)-dimensional nonlinear viral infection model that characterizes the interactions of the viruses, susceptible host cells, n-stages of infected cells, CTL cells and B cells. Both viral and cellular infections have been incorporated into the model. The well-posedness of the model is justified. The model admits five equilibria which are determined by five threshold parameters. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle's invariance principle. The theoretical results are illustrated by numerical simulations. |
| first_indexed | 2024-12-19T12:53:58Z |
| format | Article |
| id | doaj.art-7ba5d9689b0244769b12f29da52dcf1f |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-19T12:53:58Z |
| publishDate | 2020-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-7ba5d9689b0244769b12f29da52dcf1f2022-12-21T20:20:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-01-0117157560510.3934/mbe.2020030Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infectionN. H. AlShamrani0A. M. Elaiw 11. Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589 Jeddah, Saudi Arabia 2. Department of Mathematics, Faculty of Science, University of Jeddah, 21589 Jeddah, Saudi Arabia1. Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589 Jeddah, Saudi ArabiaThis paper studies an (n + 4)-dimensional nonlinear viral infection model that characterizes the interactions of the viruses, susceptible host cells, n-stages of infected cells, CTL cells and B cells. Both viral and cellular infections have been incorporated into the model. The well-posedness of the model is justified. The model admits five equilibria which are determined by five threshold parameters. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle's invariance principle. The theoretical results are illustrated by numerical simulations.https://www.aimspress.com/article/doi/10.3934/mbe.2020030?viewType=HTMLviral and cellular infectionsglobal stabilityadaptive immune responselyapunov functionmulti-staged infected cells |
| spellingShingle | N. H. AlShamrani A. M. Elaiw Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection Mathematical Biosciences and Engineering viral and cellular infections global stability adaptive immune response lyapunov function multi-staged infected cells |
| title | Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection |
| title_full | Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection |
| title_fullStr | Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection |
| title_full_unstemmed | Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection |
| title_short | Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection |
| title_sort | stability of an adaptive immunity viral infection model with multi stages of infected cells and two routes of infection |
| topic | viral and cellular infections global stability adaptive immune response lyapunov function multi-staged infected cells |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2020030?viewType=HTML |
| work_keys_str_mv | AT nhalshamrani stabilityofanadaptiveimmunityviralinfectionmodelwithmultistagesofinfectedcellsandtworoutesofinfection AT amelaiw stabilityofanadaptiveimmunityviralinfectionmodelwithmultistagesofinfectedcellsandtworoutesofinfection |