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具有脉冲接种的手足口病传播模型 被引量：1

A Spreading Model of HFMD With Pulse Vaccination
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摘要 研究具有脉冲接种的手足口病SEIR传播模型,首先得到了系统的无病周期解,其次证明了无病周期解的渐进稳定性并得到了系统渐进稳定性的条件.最后,根据已获得的数据对系统进行了数值模拟,得到了脉冲接种周期的临界值. Based on the characteristics of the transmission for the hand foot mouth disease,an ODE SEIR model with pulse vacation is formulated and analyzed.The disease free periodic solution is solved and its globally asymptotically stability is proved.By the data of the HFND in Henan Province,the maximum length of pulse vacation is obtained.
作者 李春
机构地区 郑州轻工业学院数学与信息科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2014年第10期301-306,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11201433) 河南省科技厅自然科学基金(122300410116) 郑州轻工业学院校内基金(2011XJJ014)
关键词 手足口病 无病周期解 脉冲接种 稳定性 HFMD disease-free periodic solution pulse vaccination stability.
分类号 O175 [理学—基础数学]
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参考文献10

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共引文献2

同被引文献13

  • 1丁孝全,程述汉.具反馈控制的时滞阶段结构种群模型的稳定性[J].生物数学学报,2006,21(2):225-232. 被引量：16
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数学的实践与认识
2014年 第10期

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