Impulsive epidemic model with differential susceptibility and stage structure

Yujiang Liu; Shujing Gao; Youquan Luo

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Impulsive epidemic model with differential susceptibility and stage structure

机译：具有易感性和阶段结构的脉冲流行病模型

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摘要

A stage-structured epidemic model with two differential susceptible of susceptibility and pulse vaccination is proposed. We introduce two thresholds R' and R_*, and further prove that a disease cannot invade the disease-free state if R~* is less than unit and can invade if R* is larger than unit. Two numerical simulations are also given to illustrate our main results.

机译：提出了具有易感性和脉冲疫苗接种性的两种差异易感性的阶段结构流行病模型。我们引入两个阈值R'和R_ *，并进一步证明如果R〜*小于单位，则疾病不能侵入无病状态，而如果R *大于单位，则可以侵入无病状态。还给出了两个数值模拟来说明我们的主要结果。

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来源
《Applied Mathematical Modelling》 |2012年第1期|p.370-378|共9页
作者
Yujiang Liu; Shujing Gao; Youquan Luo;
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作者单位

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Cannan Normal University, Ganzhou 341000, PR China;

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Cannan Normal University, Ganzhou 341000, PR China;

Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Cannan Normal University, Ganzhou 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
differential susceptibility; stage structure; pulse vaccination; extinction;

机译：差异敏感性舞台结构脉冲疫苗接种;灭绝;

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1. The differential susceptibility SIR epidemic model with stage structure and pulse vaccination [J] . Zhang X.-B., Huo H.-F., Sun X.-K., Nonlinear analysis. Real world applications . 2010,第4期

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2. IMPULSIVE VACCINATION OF SIRS EPIDEMIC MODEL WITH STAGE-STRUCTURE [J] . 微分方程年刊：英文版 . 2010,第004期

机译：具有阶段结构的SIRS流行病模型的脉冲接种
3. Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure [J] . Yunguo Jin Discrete dynamics in nature and society . 2016,第Pta3期

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4. Mathematical Model for Dengue Epidemics with Differential Susceptibility and Asymptomatic Patients Using Computer Algebra [C] . Clarita Saldarriaga Vargas Computer algebra in scientific computing . 2009

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5. An analysis of an impulsive stage structured integrated pest management model with refuge effect. [D] . Henderson, Miranda M. 2017

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6. Stability of differential susceptibility and infectivity epidemic models [O] . B. Bonzi, A. A. Fall, Abderrahman Iggidr, -1

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7. Stability results on age-structured SIS epidemic model with coupling impulsive effect [O] . Helong Liu, Houbao Xu, Jingyuan Yu, 2014

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Impulsive epidemic model with differential susceptibility and stage structure

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