具有隔离策略和时滞的SIQR流行病模型的全局动力学

大连交通大学学报 Pub Date : 2011-01-01 DOI:10.1115/1.859919.paper254

Jing Xu, Nan-nan Zhang, Yonggang Ma

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引用次数: 0

摘要

研究了具有隔离策略和延迟的SIQR流行病模型的全局动力学。在SIQR流行病模型的基础上，考虑疾病的潜伏期，引入离散时滞，建立了描述H1N1流行病的具有时滞的动态模型。对该模型进行定性分析，得到了完全决定全局动力学的锐阈值、基本繁殖数R0，揭示了传染病的内在规律。

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Global Dynamics of an SIQR Epidemic Model with Quarantine Strategy and Time Delay

Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.

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来源期刊

大连交通大学学报

自引率

0.00%

发文量

4555

期刊介绍： The Journal of Dalian Jiaotong University (formerly the Journal of Dalian Railway Institute, founded in 1980) is a public, academic journal on transportation sponsored by Dalian Jiaotong University and published at domestic and international levels. It mainly publishes original papers on transportation management and control, intelligent manufacture of rail transit equipment, transportation infrastructure and materials, interdisciplinary studies, and transportation frontier. This journal aims to reflect the up-to-date research achievement in transportation, promote academic communication in domestic and international fields, and contribute to China's scientific and technological development and modernization. This journal is a high-quality scientific and technical journal in the railway transportation field (T2), Chinese Scientific Technical Papers Citation Database (CSTPCD), and a core academic journal of RCCSE in China. It has been indexed by more than ten domestic and foreign periodical databases, including the Chinese Science and Technology Papers Statistical Source, Wanfang Data System Science and Technology Periodical Group, China Academic Journals (CD-ROM Version), China Journal Net, American Chemical Abstracts (CA), American Cambridge Scientific Abstracts (CSA), Polish Index Copernicus (IC), Russian Abstract Journal (AJ, VINITI), and American Ulrich's Periodicals Directory. This journal's main target readers are domestic and foreign scientific and technical researchers, teachers in colleges and universities, and graduate students.