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具有垂直传播和疫苗接种的随机模型的阈值动态

Threshold Dynamics of a Stochastic Model with Vertical Transmission and Vaccination.

作者信息

Miao Anqi, Zhang Jian, Zhang Tongqian, Pradeep B G Sampath Aruna

机构信息

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China.

State Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China.

出版信息

Comput Math Methods Med. 2017;2017:4820183. doi: 10.1155/2017/4820183. Epub 2017 Jul 6.

DOI:10.1155/2017/4820183
PMID:28761501
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5518526/
Abstract

A stochastic model with vertical transmission and vaccination is proposed and investigated in this paper. The threshold dynamics are explored when the noise is small. The conditions for the extinction or persistence of infectious diseases are deduced. Our results show that large noise can lead to the extinction of infectious diseases which is conducive to epidemic diseases control.

摘要

本文提出并研究了一个具有垂直传播和疫苗接种的随机模型。当噪声较小时，探讨了阈值动态。推导了传染病灭绝或持续存在的条件。我们的结果表明，大噪声可导致传染病灭绝，这有利于传染病控制。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/83eab37ec171/CMMM2017-4820183.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/4abd0f2ec67f/CMMM2017-4820183.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/f0fb82629b4f/CMMM2017-4820183.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/50360d340863/CMMM2017-4820183.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/f601cf1d0646/CMMM2017-4820183.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/83eab37ec171/CMMM2017-4820183.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/4abd0f2ec67f/CMMM2017-4820183.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/f0fb82629b4f/CMMM2017-4820183.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/50360d340863/CMMM2017-4820183.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/f601cf1d0646/CMMM2017-4820183.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fb5/5518526/83eab37ec171/CMMM2017-4820183.005.jpg

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