| Volume 9, Number 4, 2019, Pages 1425-1442 DOI：10.11948/2156-907X.20180270 |
| Asymptotic behavior of a stochastic virus dynamics model with intracellular delay and humoral immunity |
| Liang Zhang,Shitao Liu,Xiaobing Zhang |
| Keywords:Stochastic virus dynamics model, intracellular delay, humoral immunity, Lyapunov functional. |
| Abstract: |
| In this paper, we formulate a stochastic virus dynamics model with intracellular delay and humoral immunity. By constructing some suitable Lyapunov functions, we show that the solution of stochastic model is going around each of the steady states of the corresponding deterministic model under some conditions. Then, numerical simulations are given to support the theoretical results. Finally, we propose several more effective way to control the spread of the virus by analyzing the sensitivity of the threshold of spread. |
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