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Analysis of A Virus Dynamics Model
| Content Provider | Scilit |
|---|---|
| Author | Zhang, Baolin Li, Jianquan Li, Jia Zhao, Xin |
| Copyright Year | 2018 |
| Description | Journal: Iop Conference Series: Earth and Environmental Science In order to more accurately characterize the virus infection in the host, a virus dynamics model with latency and virulence is established and analyzed in this paper. The positivity and boundedness of the solution are proved. After obtaining the basic reproduction number and the existence of infected equilibrium, the Lyapunov method and the LaSalle invariance principle are used to determine the stability of the uninfected equilibrium and infected equilibrium by constructing appropriate Lyapunov functions. We prove that, when the basic reproduction number does not exceed 1, the uninfected equilibrium is globally stable, the virus can be cleared eventually; when the basic reproduction number is more than 1, the infected equilibrium is globally stable, the virus will persist in the host at a certain level. The effect of virulence and latency on infection is also discussed. |
| Related Links | https://iopscience.iop.org/article/10.1088/1755-1315/128/1/012121/pdf http://iopscience.iop.org/article/10.1088/1755-1315/128/1/012121/pdf |
| ISSN | 17551307 |
| e-ISSN | 17551315 |
| DOI | 10.1088/1755-1315/128/1/012121 |
| Journal | Iop Conference Series: Earth and Environmental Science |
| Issue Number | 1 |
| Volume Number | 128 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2018-03-23 |
| Access Restriction | Open |
| Subject Keyword | Journal: Iop Conference Series: Earth and Environmental Science Automotive Engineering Uninfected Equilibrium |
| Content Type | Text |
| Resource Type | Article |
| Subject | Earth and Planetary Sciences Physics and Astronomy Environmental Science |
