An SIR epidemic model with time-varying pulse control schemes and saturated infectious force

Yuying He; Shujing Gao; Dehui Xie

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An SIR epidemic model with time-varying pulse control schemes and saturated infectious force

机译：具有时变脉冲控制方案和饱和感染力的SIR传染病模型

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Vaccination and treatment policies are two methods used to control the spread of disease. In this paper, we study an SIR epidemic model with time-varying pulse vaccination of the susceptible and time-varying pulse treatment of the infected population. Owing to the seasonal fluctuations in transmission of many disease, we propose the model with periodic saturation incidence. The Threshold value R_0 is established. We demonstrate that the disease dies out for R_0 ＜ 1, whereas it is permanent for R_0 ＞ 1.

机译：疫苗接种和治疗政策是控制疾病传播的两种方法。在本文中，我们研究了具有传染性人群的时变脉冲疫苗接种和时变脉冲治疗的SIR流行病模型。由于许多疾病传播的季节性波动，我们提出了具有周期性饱和发生率的模型。阈值R_0已建立。我们证明该疾病在R_0 ＜1时消失，而对于R_0＞ 1则是永久性的。

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来源
《Applied Mathematical Modelling》 |2013年第17期|8131-8140|共10页
作者
Yuying He; Shujing Gao; Dehui Xie;
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作者单位

Key Laboratory of jiangxi Province for Numerical Simulation and Emulation Techniques. College of Mathematics and Computer Science, Gannan Normal University,Canzhou 341000, PR China;

Key Laboratory of jiangxi Province for Numerical Simulation and Emulation Techniques. College of Mathematics and Computer Science, Gannan Normal University,Canzhou 341000, PR China,National Institute of Parasitic Diseases, Chinese Center for Disease Control and Prevention, Shanghai 200025, PR China;

Key Laboratory of jiangxi Province for Numerical Simulation and Emulation Techniques. College of Mathematics and Computer Science, Gannan Normal University,Canzhou 341000, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Time-varying pulse vaccination; Time-varying pulse treatment; Saturation incidence; Threshold value;

机译：时变脉冲疫苗接种;时变脉冲处理;饱和度发生率;门槛值;

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1. Three Kinds Of Tvs In A Sir Epidemic Model With Saturated Infectious Force And Vertical Transmission [J] . Shaoying Liu, Yongzhen Pei, Changguo Li, Applied Mathematical Modelling . 2009,第4期

机译：具有饱和传染力和垂直传播的Sir流行病模型中的三种电视
2. Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible [J] . Yi Song, Anqi Miao, Tongqian Zhang, Advances in Difference Equations . 2018,第1期

机译：具有饱和发生率的随机SIRS传染病模型的灭绝与持续性。
3. A stochastic SIRS epidemic model with infectious force under intervention strategies [J] . Cai Yongli, Kang Yun, Banerjee Malay, Journal of Differential Equations . 2015,第12期

机译：干预策略下具有传染力的随机SIRS流行模型
4. Varying pulse control schemes for SIRS epidemic model with seasonality [C] . Yujing Liu, Shujing Gao, Yun Lan International congress on mathematical biology;ICMB2011 . 2011

机译：具有季节性的SIRS流行病模型的可变脉冲控制方案
5. Governance Implications of Global Infectious Disease Epidemics Under Shared Health Governance Scheme. Lessons from SARS [D] . Wang, Ruosi. 2012

机译：共同卫生治理计划下全球传染病流行病的治理影响。 SARS的课程
6. Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate [O] . Min Lu, Jicai Huang, Shigui Ruan, -1

机译：具有广义非单调和饱和发生率的SIRS流行病模型的分叉分析
7. Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination [O] . Xiangsen Liu, Binxiang Dai 2016

机译：饱和治疗功能和非线性脉冲疫苗的SIR流行病模型的定性和分岔分析

An SIR epidemic model with time-varying pulse control schemes and saturated infectious force

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