Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles
This paper investigates the dynamic behavior of a viral infection model with general contact rate between susceptible host cells and free virus particles. If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asy...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/546795 |
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| _version_ | 1832568385044480000 |
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| author | Chenxi Dai Cui Ma Lijuan Song Kaifa Wang |
| author_facet | Chenxi Dai Cui Ma Lijuan Song Kaifa Wang |
| author_sort | Chenxi Dai |
| collection | DOAJ |
| description | This paper investigates the dynamic behavior of a viral infection model with
general contact rate between susceptible host cells and free virus particles. If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction number of the virus is greater than unity, then the virus persists in the host and the endemic equilibrium is locally asymptotically stable. |
| format | Article |
| id | doaj-art-bd92e76236b44bce895132e49fbfbb28 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd92e76236b44bce895132e49fbfbb282025-02-03T00:59:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/546795546795Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus ParticlesChenxi Dai0Cui Ma1Lijuan Song2Kaifa Wang3Department of Mathematics, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, ChinaDepartment of Mathematics, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, ChinaDepartment of Mathematics, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, ChinaDepartment of Mathematics, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, ChinaThis paper investigates the dynamic behavior of a viral infection model with general contact rate between susceptible host cells and free virus particles. If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction number of the virus is greater than unity, then the virus persists in the host and the endemic equilibrium is locally asymptotically stable.http://dx.doi.org/10.1155/2014/546795 |
| spellingShingle | Chenxi Dai Cui Ma Lijuan Song Kaifa Wang Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles Abstract and Applied Analysis |
| title | Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles |
| title_full | Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles |
| title_fullStr | Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles |
| title_full_unstemmed | Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles |
| title_short | Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles |
| title_sort | dynamics of a viral infection model with general contact rate between susceptible cells and virus particles |
| url | http://dx.doi.org/10.1155/2014/546795 |
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