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具有垂直传播和媒体报道的新型确定性与随机性SIR传染病模型的全局动力学

Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage.

作者信息

Wang Xiaodong, Wang Chunxia, Wang Kai

机构信息

Department of Medical Engineering and Technology, Xinjiang Medical University, Urumqi, Xinjiang 830011 P.R. China.

出版信息

Adv Differ Equ. 2020;2020(1):685. doi: 10.1186/s13662-020-03145-3. Epub 2020 Dec 4.

DOI:10.1186/s13662-020-03145-3
PMID:33293941
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7716292/
Abstract

In this paper, we study a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage. For the deterministic model, we give the basic reproduction number which determines the extinction or prevalence of the disease. In addition, for the stochastic model, we prove existence and uniqueness of the positive solution, and extinction and persistence in mean. Furthermore, we give numerical simulations to verify our results.

摘要

在本文中，我们研究了一个具有垂直传播和媒体报道的新型确定性和随机SIR传染病模型。对于确定性模型，我们给出了决定疾病灭绝或流行的基本再生数。此外，对于随机模型，我们证明了正解的存在性和唯一性，以及均值意义下的灭绝和持久性。此外，我们进行了数值模拟以验证我们的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/5e0b3d64c12e/13662_2020_3145_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/58ffdb740f98/13662_2020_3145_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/80a1bfe5b636/13662_2020_3145_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/69f564cf6afd/13662_2020_3145_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/5e0b3d64c12e/13662_2020_3145_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/58ffdb740f98/13662_2020_3145_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/80a1bfe5b636/13662_2020_3145_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/69f564cf6afd/13662_2020_3145_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b6c/7716292/5e0b3d64c12e/13662_2020_3145_Fig5_HTML.jpg

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本文引用的文献

1
A discrete epidemic model for SARS transmission and control in China.中国SARS传播与控制的离散型流行病模型
Math Comput Model. 2004 Dec;40(13):1491-1506. doi: 10.1016/j.mcm.2005.01.007. Epub 2005 May 3.
2
The Impact of Media on the Control of Infectious Diseases.媒体对传染病控制的影响。
J Dyn Differ Equ. 2008;20(1):31-53. doi: 10.1007/s10884-007-9075-0. Epub 2007 May 18.
3
Global hopf bifurcation of a delayed equation describing the lag effect of media impact on the spread of infectious disease.一个描述媒介影响对传染病传播滞后效应的时滞方程的全局霍普夫分岔。
J Math Biol. 2018 Apr;76(5):1249-1267. doi: 10.1007/s00285-017-1173-y. Epub 2017 Aug 29.
4
Media alert in an SIS epidemic model with logistic growth.具有逻辑斯蒂增长的SIS流行病模型中的媒体警报
J Biol Dyn. 2017 Mar;11(sup1):120-137. doi: 10.1080/17513758.2016.1181212. Epub 2016 May 4.
5
Professional and ethical responsibilities of health-care workers in regard to vaccinations.医护人员在疫苗接种方面的职业与道德责任。
Vaccine. 2014 Aug 27;32(38):4866-8. doi: 10.1016/j.vaccine.2014.05.068. Epub 2014 Jun 19.
6
Impacts of a mass vaccination campaign against pandemic H1N1 2009 influenza in Taiwan: a time-series regression analysis.台湾地区 2009 年甲型 H1N1 流感大流行疫苗接种运动的影响：时间序列回归分析。
Int J Infect Dis. 2014 Jun;23:82-9. doi: 10.1016/j.ijid.2014.02.016. Epub 2014 Apr 8.
7
One-shot vaccination with an insect cell-derived low-dose influenza A H7 virus-like particle preparation protects mice against H7N9 challenge.单次接种昆虫细胞来源的低剂量甲型流感 H7 病毒样颗粒制剂可保护小鼠免受 H7N9 挑战。
Vaccine. 2014 Jan 9;32(3):355-62. doi: 10.1016/j.vaccine.2013.11.036. Epub 2013 Nov 18.
8
The impact of media coverage on the transmission dynamics of human influenza.媒体报道对人感染流感传播动力学的影响。
BMC Public Health. 2011 Feb 25;11 Suppl 1(Suppl 1):S5. doi: 10.1186/1471-2458-11-S1-S5.
9
Critical role of nosocomial transmission in the toronto sars outbreak.医院感染在多伦多 SARS 爆发中的关键作用。
Math Biosci Eng. 2004 Jun;1(1):1-13. doi: 10.3934/mbe.2004.1.1.
10
H1N1 2009 influenza virus infection during pregnancy in the USA.美国孕期感染2009年甲型H1N1流感病毒的情况。
Lancet. 2009 Aug 8;374(9688):451-8. doi: 10.1016/S0140-6736(09)61304-0. Epub 2009 Jul 28.