Analysis of Permanence and Stability for SIR Model with Saturation Incidence

王建军; 张晋珠; 靳祯

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Analysis of Permanence and Stability for SIR Model with Saturation Incidence

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- Analysis of Permanence and Stability for SIR Model with Saturation Incidence
- 具有饱和发生率的SIR模型的持久性和稳定性
- Vol. 29, Issue 6, Pages: 479-485(2008)
- 作者机构：
  
  1. 太原工业学院基础部
  2. 中北大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2008
- 稿件说明：
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王建军, 张晋珠, 靳祯. Analysis of Permanence and Stability for SIR Model with Saturation Incidence[J]. 2008, 29(6): 479-485.
DOI：

王建军, 张晋珠, 靳祯. Analysis of Permanence and Stability for SIR Model with Saturation Incidence[J]. 2008, 29(6): 479-485. DOI：

摘要

研究了一类具有饱和发生率的虫媒传染病模型.确定了疾病是否流行的阈值R0.如果R0≤1

无病平衡点是全局渐近稳定的

疾病逐渐消失;如果R01

地方病平衡点是渐近稳定的

疾病将流行最终导致地方病产生.

Abstract

A SIR vector-born diseases model with saturation incidence is studied.The threshold value R0 is obtained which determines whether the disease is epidemic or not.If R0≤1

the disease-free equilibrium is global asymptotically stable

and the disease will die out.If R01

the epidemic equilibrium is asymptotically stable

and the disease will be permanent and bring on the epidemic finally.

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references

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