具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性

尚乔歌; 张龙; 滕志东

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具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性

更新时间：2026-01-21

- 具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 29, Issue 2, Pages: 174-181(2012)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175
- Published：2012
- 稿件说明：
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[1]尚乔歌,张龙,滕志东.具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性[J].新疆大学学报(自然科学版),2012,29(02):174-181.

尚乔歌, 张龙, 滕志东. 具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(2): 174-181.
[1]尚乔歌,张龙,滕志东.具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性[J].新疆大学学报(自然科学版),2012,29(02):174-181. DOI：

尚乔歌, 张龙, 滕志东. 具有离散时滞和标准发生率的SIR传染病模型的全局吸引性和持久性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(2): 174-181. DOI：

摘要

研究了人口的出生和死亡都受密度制约的一类具有离散时滞和标准发生率的SIR传染病模型

通过构造Lyapunov泛函的方法

研究了无病平衡点的全局吸引性

并且给出了当R0>1时

系统持久性的充分条件.

Abstract

In this paper

we studied a class of discrete SIR epidemic model with time delay and standard rate and density dependent birth and death rates.The criteria for global attrativity of disease-free is obtained by applying Lyapunov functional techique and give sufficient condition for permanence of system as R0>1.

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references

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