一类具有非线性传染率的传染病模型性态分析

李桂花

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一类具有非线性传染率的传染病模型性态分析

应用基础研究 | 更新时间：2026-09-14

- 一类具有非线性传染率的传染病模型性态分析
- Behavior of an Epidemic Model with Nonlinear Incidence
- 中北大学学报（自然科学版） 2009年30卷第2期页码：95-99
- 作者机构：
  
  中北大学理学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目(60771026);山西省青年科技基金资助项目(2007021006)
- DOI：
  中图分类号：
- 纸质出版：2009
- 稿件说明：
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李桂花. 一类具有非线性传染率的传染病模型性态分析[J]. 中北大学学报（自然科学版）, 2009,30(2):95-99.

李桂花. Behavior of an Epidemic Model with Nonlinear Incidence[J]. 2009, 30(2): 95-99.
李桂花. 一类具有非线性传染率的传染病模型性态分析[J]. 中北大学学报（自然科学版）, 2009,30(2):95-99. DOI：

李桂花. Behavior of an Epidemic Model with Nonlinear Incidence[J]. 2009, 30(2): 95-99. DOI：

摘要

研究了一类具有一般传染率寄生虫宿主模型的全局性态.利用微分方程定性理论得到了宿主和寄生虫共同绝灭的条件;进一步得到了宿主和寄生虫共存即系统正平衡点存在的条件

证明了正平衡点只要存在一定是全局稳定的.

Abstract

The global qualitative behavior of a microparasite model with general incidence was studied.The extinction conditions of host and parasite are obtained by the method of the differential qualitative theory.Furthermore

the existence conditions of the positive equilibrium point of the system are derived.The conclusion

that the sufficient condition for global stability is the existence of the positive equilibrium point

is proved.

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Keywords

references

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