| 甲流病毒传播的年龄结构模型的稳定性 |
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| 引用本文： | 赵爱娟,王定江. 甲流病毒传播的年龄结构模型的稳定性[J]. 数学的实践与认识, 2011, 41(20) |
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| 作者姓名： | 赵爱娟 王定江 |
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| 作者单位： | 浙江工业大学理学院,浙江杭州,310023 |
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| 摘 要： | 研究甲型H1N1流感病毒的传播规律,建立年龄结构具有接种措施的SEIR流行病模型,给出了疾病流行的阈值并证明了地方病平衡点的稳定性问题.最后根据一些实际数据,进行数值模拟进而对模型的合理性加以完善,借助模型预测下一阶段甲流爆发的可能性并提出相关应对措施.
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| 关 键 词： | 甲型H1N1流感病毒 年龄结构 接种 稳定性 数值模拟 |
The Stability of an Age-Dependent H1N1 Influenza Virus Model |
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| ZHAO Ai-juan,WANG Ding-jiang. The Stability of an Age-Dependent H1N1 Influenza Virus Model[J]. Mathematics in Practice and Theory, 2011, 41(20) |
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| Authors: | ZHAO Ai-juan WANG Ding-jiang |
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| Affiliation: | ZHAO Ai-juan,WANG Ding-jiang (Department of Applied Mathmatic,Zhejiang University of Technology,Hangzhou 310023,China) |
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| Abstract: | Study of the dissemination rule of H1N1 influenza virus.Build an age-structured SEIR epidemic model with vaccination.get the threshold of disease epidemic and prove the stability of endemic equilibrium.Finally,do the numerical simulation by actual data and perfect the model.Then,with the help of the model predict the next outbreak phase and put forward relevant measures and suggestions. |
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| Keywords: | A(H1N1) influenza virus age-structure vaccination SEIR epidemic model stability numerical simulation |
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