Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment
In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. Cell-to-cell transmission plays a more important role in virus spreading in addition to virus-to-cell infection. N...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/9531450 |
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| _version_ | 1832553641528000512 |
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| author | Hui Miao Meiyan Jiao |
| author_facet | Hui Miao Meiyan Jiao |
| author_sort | Hui Miao |
| collection | DOAJ |
| description | In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. Cell-to-cell transmission plays a more important role in virus spreading in addition to virus-to-cell infection. Nonnegativity and boundcedness properties of the solutions are proven to show the well-posedness of the model. Five reproduction numbers are calculated and verified to be thresholds determining the global properties of the virus model. A significant impact of cell-to-cell transmission is that they increase the basic reproduction number. If one neglects either the cell-to-cell transmission or virus-to-cell infection, the basic reproduction number of the model is underevaluated. Numerical simulations are carried out to illustrate the dynamical behavior of the model. |
| format | Article |
| id | doaj-art-da9132872b02439aac74bcb01b90d0d6 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-da9132872b02439aac74bcb01b90d0d62025-02-03T05:53:39ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/9531450Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune ImpairmentHui Miao0Meiyan Jiao1School of Applied MathematicsSchool of Applied MathematicsIn this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. Cell-to-cell transmission plays a more important role in virus spreading in addition to virus-to-cell infection. Nonnegativity and boundcedness properties of the solutions are proven to show the well-posedness of the model. Five reproduction numbers are calculated and verified to be thresholds determining the global properties of the virus model. A significant impact of cell-to-cell transmission is that they increase the basic reproduction number. If one neglects either the cell-to-cell transmission or virus-to-cell infection, the basic reproduction number of the model is underevaluated. Numerical simulations are carried out to illustrate the dynamical behavior of the model.http://dx.doi.org/10.1155/2022/9531450 |
| spellingShingle | Hui Miao Meiyan Jiao Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment Discrete Dynamics in Nature and Society |
| title | Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment |
| title_full | Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment |
| title_fullStr | Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment |
| title_full_unstemmed | Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment |
| title_short | Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment |
| title_sort | spatiotemporal dynamics of a delayed viral infection model with two modes of transmission and immune impairment |
| url | http://dx.doi.org/10.1155/2022/9531450 |
| work_keys_str_mv | AT huimiao spatiotemporaldynamicsofadelayedviralinfectionmodelwithtwomodesoftransmissionandimmuneimpairment AT meiyanjiao spatiotemporaldynamicsofadelayedviralinfectionmodelwithtwomodesoftransmissionandimmuneimpairment |