期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
具有垂直传染的SIS传染病模型的稳定性及分岔分析
- 岭南师范学院 数学与统计学院, 广东 湛江 524048
-
DOI：10.13763/j.cnki.jhebnu.nse.2020.05.002
Stability and Bifurcation Analysis of SIS Epidemic Model with Vertical Transmission
摘要/Abstract
摘要：
研究了一类具有垂直传染的SIS传染病模型的稳定性及分岔性.讨论了平衡点的类型和稳定性对系数参数的依赖关系，通过中心流形定理得到了平衡点的跨临界分岔条件，给出了分岔的生物学解释及传染病的防控措施.
Abstract：
The stability and bifurcation analysis of a class of SIS epidemic model with vertical transmission are discussed in this paper.Firstly,the dependence of the type and stability of equilibrium points on the parameters of coefficients is discussed.Then,the transcritical bifurcation conditions of the equilibrium points are obtained through the central manifold theorem.Finally,the biological explanation of the bifurcation and the prevention and control measures of infectious diseases are given.
关键词
Key words：
vertical infection
;
central manifold theorem
;
stability
;
transcritical bifurcation
参考文献 10
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