PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE

Yanlin Ding; Xinzhi Ren; Cuicui Jiang; Qianhong Zhang

doi:10.11948/20190333

2020 Volume 10 Issue 6

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Yanlin Ding, Xinzhi Ren, Cuicui Jiang, Qianhong Zhang. PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2439-2458. doi: 10.11948/20190333

Citation:

Yanlin Ding, Xinzhi Ren, Cuicui Jiang, Qianhong Zhang. PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2439-2458. doi: 10.11948/20190333

PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE

1.
Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education), School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
2.
Department of Mathematics, Guizhou University of Finance and Economics, Guiyang 550025, China
3.
Department of Mathematics, College of Basic Medicine, Army Medicine University, Chongqing 400038, China

Corresponding author: Email address: zqianhong68@163.com(Q. Zhang)
Fund Project: The authors were supported by the Fundamental Research Funds for the Central Universities (XDJK2019C106), Youth Foundation of Army Medical University (2017XQN05), the Project funded by China Postdoctoral Science Foundation (2019M653816XB), the Sponsored by Natural Science Foundation of Chongqing, China(cstc2019jcyj-bshX0122) and the National Natural Science Foundation of China (11761018, 11901477, 11901576)

Abstract

Abstract

In this paper, we propose a stochastic SIQR epidemic model with periodic parameters and media coverage. Firstly, we study that the stochastic non-autonomous periodic system has a unique global positive solution. Secondly, by using the Khasminskii's theory, we prove that this stochastic periodic system has a nontrivial positive periodic solution. Then, we obtain the sufficient condition for extinction of the disease. Finally, numerical simulations are employed to illustrate our theoretical analysis.
- Stochastic model /
- periodic /
- extinction /
- media coverage /
- SIQR
MSC: 92D30, 34D05

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References

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