Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions
This article aims to study a hepatitis B virus (HBV) infection model incorporating two nonlinear incidences and spatial diffusion in capsids, virus, and cytotoxic T lymphocyte (CTL) immune response. Three equilibria which are infection-free, immune-free, and infection with CTL immunity are calculate...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/7738415 |
| _version_ | 1797822207923060736 |
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| author | Hui Miao Meiyan Jiao |
| author_facet | Hui Miao Meiyan Jiao |
| author_sort | Hui Miao |
| collection | DOAJ |
| description | This article aims to study a hepatitis B virus (HBV) infection model incorporating two nonlinear incidences and spatial diffusion in capsids, virus, and cytotoxic T lymphocyte (CTL) immune response. Three equilibria which are infection-free, immune-free, and infection with CTL immunity are calculated under rational assumptions. Furthermore, two reproduction numbers are verified to assert the global stability of the HBV model. In the end, the theoretical results on HBV dynamics are further illustrated by performing numerical simulations. |
| first_indexed | 2024-03-13T10:04:33Z |
| format | Article |
| id | doaj.art-9f6d99eb4f194ab8ae8466630799d6a6 |
| institution | Directory Open Access Journal |
| issn | 1607-887X |
| language | English |
| last_indexed | 2024-03-13T10:04:33Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj.art-9f6d99eb4f194ab8ae8466630799d6a62023-05-23T00:00:04ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/7738415Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell TransmissionsHui Miao0Meiyan Jiao1School of Applied MathematicsSchool of Applied MathematicsThis article aims to study a hepatitis B virus (HBV) infection model incorporating two nonlinear incidences and spatial diffusion in capsids, virus, and cytotoxic T lymphocyte (CTL) immune response. Three equilibria which are infection-free, immune-free, and infection with CTL immunity are calculated under rational assumptions. Furthermore, two reproduction numbers are verified to assert the global stability of the HBV model. In the end, the theoretical results on HBV dynamics are further illustrated by performing numerical simulations.http://dx.doi.org/10.1155/2023/7738415 |
| spellingShingle | Hui Miao Meiyan Jiao Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions Discrete Dynamics in Nature and Society |
| title | Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions |
| title_full | Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions |
| title_fullStr | Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions |
| title_full_unstemmed | Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions |
| title_short | Dynamics of a Diffusive HBV Infection Model with Capsids, Two Delays, and Cell-to-Cell Transmissions |
| title_sort | dynamics of a diffusive hbv infection model with capsids two delays and cell to cell transmissions |
| url | http://dx.doi.org/10.1155/2023/7738415 |
| work_keys_str_mv | AT huimiao dynamicsofadiffusivehbvinfectionmodelwithcapsidstwodelaysandcelltocelltransmissions AT meiyanjiao dynamicsofadiffusivehbvinfectionmodelwithcapsidstwodelaysandcelltocelltransmissions |