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一类具有治疗SIRS传染病模型的后向分支 被引量：1

A Class of Backward Bifurcation for SIRS Epidemic Model Treatment
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摘要 研究了一类SIRS传染病模型,确定了模型的基本再生数R0。R0>1时,无病平衡点不稳定,地方病平衡点是稳定的。当R0<1时,系统会产生后向分支,并得到后向分支产生的条件。 This paper studies a class of SIRS epidemic model and determines the basic reproduction number R0 for the model. When R0〉1, the disease free equilibrium is unstable while the endemic equilibrium is stable. When R0〈1, a backward bifurcation occurs, and conditions for the system to produce backward bifurcation can be obtained.
作者 闫玲
机构地区 兰州交通大学数理学院
出处 《洛阳理工学院学报（自然科学版）》 2014年第2期80-83,共4页 Journal of Luoyang Institute of Science and Technology：Natural Science Edition
关键词 SIRS传染病模型 后向分支 治疗 平衡点 SIRS epidemic model backward bifurcation treatment equilibrium point
分类号 O175.1 [理学—基础数学]
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引证文献1

洛阳理工学院学报（自然科学版）
2014年 第2期

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