ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY

Liang zhang; Shitao Liu; Xiaobing Zhang

doi:10.11948/2156-907X.20180270

2019 Volume 9 Issue 4

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Liang zhang, Shitao Liu, Xiaobing Zhang. ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1425-1442. doi: 10.11948/2156-907X.20180270

Citation:

Liang zhang, Shitao Liu, Xiaobing Zhang. ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1425-1442. doi: 10.11948/2156-907X.20180270

ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY

a.
College of science, Northwest A&F University Yangling, Shaanxi 712100, China
b.
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China

Author Bio: zhanglsd@126.com(L. Zhang); zhangxb@lut.cn(X. Zhang)
Corresponding author: Email address:136706811@qq.com(S. Liu)
Fund Project: This work was partially supported by the National Natural Science Foundation of China(No. 11601405)

Abstract

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.
- Stochastic virus dynamics model /
- intracellular delay /
- humoral immunity /
- Lyapunov functional
MSC: 60H10, 92B05, 92D30

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References

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