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一类具有阶段结构的SIS传染病模型的稳定性 被引量:2

Stability of A SIS Epidemic Model with Stage-structure
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摘要 针对一类只在种群的成年阶段中传播的传染病,建立了分阶段结构的传染病模型。通过讨论找到了各类平衡点存在的阈值条件,并研究了各平衡点的全局稳定性。 An epidemic model with stage-structure consisting immature and mature stages is investigated, and the existence conditions and threshold of various equilibriums are obtained. Moreover, the global stability of epidemic equilibrium and disease-free equilibrium are proved.
作者 刘芳 胡志兴
出处 《科学技术与工程》 2008年第12期3277-3280,共4页 Science Technology and Engineering
基金 国家自然科学基金(10671011)资助
关键词 传染病模型 平衡点 阈值 局部渐近稳定 全局渐近稳定 epidemic model equilibrium threshold local stability global stability
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