Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

Li C.-H.; Tsai C.-C.; Yang S.-Y.

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Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

机译：具有出生率和时滞分布的密度依赖的SIR流行病模型的持久性

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In this paper, we investigate the permanence of an SIR epidemic model with a density-dependent birth rate and a distributed time delay. We first consider the attractivity of the disease-free equilibrium and then show that for any time delay, the delayed SIR epidemic model is permanent if and only if an endemic equilibrium exists. Numerical examples are given to illustrate the theoretical analysis. The results obtained are also compared with those from the analog system with a discrete time delay.

机译：在本文中，我们研究了SIR流行病模型的持久性，该模型具有依赖于密度的出生率和分布的时间延迟。我们首先考虑无病平衡的吸引力，然后证明对于任何时间延迟，当且仅当存在地方平衡时，延迟的SIR流行病模型才是永久的。数值例子说明了理论分析。还将获得的结果与具有离散时间延迟的模拟系统的结果进行比较。

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《Applied mathematics and computation》 |2011年第5期|共12页
作者
Li C.-H.; Tsai C.-C.; Yang S.-Y.;
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正文语种 eng
中图分类数值分析;
关键词
Asymptotic stability; Permanence; SIR epidemic model; Time delay;

机译：渐近稳定性持久性SIR流行病模型时滞;

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专利

1. Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay [J] . Li C.-H., Tsai C.-C., Yang S.-Y. Applied mathematics and computation . 2011,第5期

机译：具有出生率和时滞分布的密度依赖的SIR流行病模型的持久性
2. Permanence for a delayed nonautonomous SIR epidemic model with density-dependent birth rate [J] . Yingke L., Liang C., Kai W. Discrete dynamics in nature and society . 2011,第Pta1期

机译：具有出生率依赖的出生率的延迟非自治SIR流行病模型的持久性
3. Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate [J] . LiYingke, ChenLiang, WangKai Discrete dynamics in nature and society . 2011,第2期

机译：具有密度相关出生率的时滞非自治SIR流行病模型的持久性
4. Pulse Vaccination Strategy in an SIR Epidemic Model with Distributed Time Delay [C] . Guosheng Xin, Zujun Lin, Junjie Han, Conference of Biomathematics . 2008

机译：具有分布时滞的SIR流行病模型中的脉冲疫苗接种策略
5. RESIDENCE TIME MOMENTS OF STOCHASTIC COMPARTMENTAL MODELS WITH AGE-DEPENDENT AND TIME-DEPENDENT RATES (MARKOV PROCESS, MATHEMATICAL BIOLOGY). [D] . OLSON, DAVID RAY. 1984

机译：具有年龄和时间依赖速率的随机区间模型的驻留时间矩（马尔可夫过程，数学生物学）。
6. Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay [O] . Shujing Gao, Zhidong Teng, Juan J. Nieto, 2007

机译：具有脉冲疫苗接种和分布式时滞的SIR流行病模型分析
7. Permanence of a delayed SIR epidemic model with density dependent birth rate [O] . Song Mei, Ma Wanbiao, Takeuchi Yasuhiro 2007

机译：具有出生率依赖的出生率的SIR流行病模型的持久性

Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

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