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带有隔离和脉冲接种的SIQR流行病模型的稳定性分析 被引量:1

Analysis of Stability for the SIQR Epidemic Model with Quarantine and Impulsive Vaccination
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摘要 研究了带有隔离和脉冲接种的且非线性传染率为βSI/H+I的SIQR模型,证明了其周期1解的存在性和稳定性,并比较了连续接种和脉冲接种的使用条件. The SIQR epidemic model with quarantine and impulsive vaccination and nonlinear infectious rate βSI/H+I is studied.The existence and the stability of 1-periodic solution of the model are proved.The suitable conditions of continuous vaccination and impulsive vaccination are compared.
作者 许艳丽
机构地区 湘南学院数学系
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2010年第2期24-28,共5页 Journal of Natural Science of Hunan Normal University
关键词 流行病模型 隔离 脉冲接种 全局渐近稳定性 epidemic model quarantine impulsive vaccination global asympototic stability
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