| 基于SIR传染病模型的不同控制策略比较 |
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| 引用本文： | 朱玑,李维德,朱凌峰.基于SIR传染病模型的不同控制策略比较[J].北华大学学报(自然科学版),2011(3):265-269. |
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| 作者姓名： | 朱玑 李维德 朱凌峰 |
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| 作者单位： | 兰州大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金项目(40930533) |
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| 摘 要： | 研究了SIR模型在连续接种、脉冲接种、治疗等不同策略下平衡点的稳定性,获得了疾病灭绝的阈值条件.通过比较各种控制策略的有效性,说明接种比治疗更能有效控制疾病,同时应用两种控制策略比单独应用一种更有效.
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| 关 键 词： | 连续接种 脉冲接种 基本再生数 |
Comparison among Different Control Strategies on SIR Epidemic Model |
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| ZHU Ji,LI Wei-de,ZHU Ling-feng.Comparison among Different Control Strategies on SIR Epidemic Model[J].Journal of Beihua University(Natural Science),2011(3):265-269. |
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| Authors: | ZHU Ji LI Wei-de ZHU Ling-feng |
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| Institution: | ZHU Ji,LI Wei-de,ZHU Ling-feng(School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China) |
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| Abstract: | The stability of the equilibrium on SIR epidemic model under continues vaccination,pulse vaccination and treatment are studied,and the threshold conditions of disease dying out are obtained.By comparing the effectiveness under different control strategies,the results that vaccination is more effective than treatment,and using two strategies concurrently is superior to only one for eradicating the disease. |
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| Keywords: | continuous vaccination pulse vaccination basic reproduction number |
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