一类具有时滞和阶段结构的SIR流行病模型分析
Analysis of an SIR epidemic model with timedelay and stagestructured characteristics
云南民族大学学报:自然科学版,2015,24(3):211-216

王丽敏 WLM

摘要


建立了具阶段结构的时滞传染病模型,得到了疾病流行与否的阈值R0.讨论了R0<1时,无病平衡点的局部稳定性和Hopf分支的存在性及R0>1时,地方病平衡点的局部稳定性和Hopf分支的存在性.  An epidemic model with time-delay and stage-structured characteristics is established, and the threshold value R0 for determining the epidemic of the disease is obtained. When R0<1, the systems local asymptotic stability and the existence of Hopf branch at its free equilibrium are analyzed, when R0>1, the systems local asymptotic stability and the existence of Hopf branch at the positive equilibrium are also analyzed.

参考



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