Analysis of A Virus Dynamics Model

3rd International Conference on Energy Equipment Science and Engineering

Zhang, Baolin^1 ; Le, Jianquan^2 ; Li, Jia^1 ; Zhao, Xin^1

Air Force Engineering University, Xi'an

710051, China^1

Shaanxi University of Science and Technology, Xi'an

710021, China^2

关键词: Basic reproduction number;    Boundedness;    LaSalle invariance principle;    Virus dynamics;    Virus infection;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/128/1/012121/pdf
DOI  :  10.1088/1755-1315/128/1/012121

来源: IOP

【 摘 要 】

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.