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一类具有时滞传染病模型的稳定性 被引量:2

Stability of A SIS Epidemic Model with Delay
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摘要 讨论了具有双时滞的SIS传染病模型.研究了一个边界平衡点的全局稳定性和正平衡点的局部稳定性,得到了传染病最终消失和成为地方病的阈值. This paper considered a SIS epidemic model that incorporates delay.The local stability of positive equilibrium and global stability of border equilibrium are proved.The endemic threshold is found which the epidemic will endemic or die out.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第17期146-151,共6页 Mathematics in Practice and Theory
基金 衡阳师范学院科学基金青年项目(07A15)
关键词 传染病模型 时滞 局部稳定性 全局稳定性 阈值 epidemic model delay local stability global stability threshold
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