| 具有连续和脉冲接种的SIQVS传染病模型 |
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| 引用本文： | 朱凌峰,李维德,章培军. 具有连续和脉冲接种的SIQVS传染病模型[J]. 兰州大学学报(自然科学版), 2011, 0(4) |
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| 作者姓名： | 朱凌峰 李维德 章培军 |
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| 作者单位： | 兰州大学数学与统计学院;西京学院基础部; |
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| 基金项目： | 国家自然科学基金项目(40930533); 国家科技支撑计划项目(2009BAC53B03) |
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| 摘 要： | 综合考虑隔离、连续和脉冲接种这三种疾病防治措施,建立了一个具有隔离项、连续和脉冲接种率的SIQV传染病模型,并给出了它的无病周期解的存在性、局部和全局渐近稳定的充分条件,还讨论了隔离率、连续接种率和脉冲接种率对疾病防治的影响.
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| 关 键 词： | 脉冲微分方程 隔离 传染病模型 稳定性 基本再生数 |
A SIQVS epidemic model with continuous and impulsive vaccination |
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| Abstract: | A SIQVS model with quarantine,continuous and pulse vaccination was formulated,the existence and global stability of the disease-free periodic solution were studied and the sufficient conditions of stability was obtained.Moreover,the effect of the strategies to control and eliminate infectious diseases was discussed. |
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| Keywords: | continuous and pulse vaccination isolation epidemic model stability basic reproduction number |
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