Analysis on a SIRS Epidemic Model with a Nonlinear Incidence Rate

王拉娣

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Analysis on a SIRS Epidemic Model with a Nonlinear Incidence Rate

更新时间：2026-09-14

- Analysis on a SIRS Epidemic Model with a Nonlinear Incidence Rate
- 一类带有非线性传染率的SIRS传染病模型
- Issue 1, Pages: 1-5(2005)
- 作者机构：
  
  山西财经大学应用数学系山西太原030006上海大学数学系上海,200436
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- Published：2005
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王拉娣. Analysis on a SIRS Epidemic Model with a Nonlinear Incidence Rate[J]. 2005, (1): 1-5.
DOI：

王拉娣. Analysis on a SIRS Epidemic Model with a Nonlinear Incidence Rate[J]. 2005, (1): 1-5. DOI：

摘要

　建立了一类带有非线性传染率的SIRS传染病模型

得到了地方病平衡点存在的阈值.当该阈值不大于1时

无病平衡点是全局渐近稳定的.当该阈值大于1时

无病平衡点是不稳定的

地方病平衡点是全局渐近稳定的.

Abstract

A SIRS epidemic model with a nonlinear incidence rate is established. The threshold of existence of endemic equilibrium is found. The disease-free equilibrium is globally asymptotically stable when the threshold is not greater than one; the disease-free equilibrium is unstable

and the endemic equilibrium is globally asymptotically stable when the threshold is not greater than one.

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references

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