| 具有时滞和媒体播报效应的流感模型 |
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| 引用本文： | 潘艳雪,王晓静,许传青. 具有时滞和媒体播报效应的流感模型[J]. 北京建筑工程学院学报, 2014, 0(3): 64-69 |
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| 作者姓名： | 潘艳雪 王晓静 许传青 |
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| 作者单位： | 北京建筑大学 理学院,北京,100044;北京建筑大学 理学院,北京,100044;北京建筑大学 理学院,北京,100044 |
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| 基金项目： | 国家自然科学基金项目，北京市教育委员会面上项目 |
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| 摘 要： | 建立一类具有时滞和媒体播报双重效应的流感模型.利用微分方程稳定性理论和时滞微分方程理论,证明了系统解的正性,无病平衡点和地方病平衡点的存在性和局部稳定性,并且通过数值模拟验证了时滞和媒体播报对流感传播和控制的影响.
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| 关 键 词： | 传染病模型 媒体播报 时滞 稳定性理论 数值模拟 |
Model of Influenza Disease with Delay and Media Coverage |
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| Pan Yanxue,Wang Xiaojing,Xu Chuanqing. Model of Influenza Disease with Delay and Media Coverage[J]. Journal of Beijing Institute of Civil Engineering and Architecture, 2014, 0(3): 64-69 |
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| Authors: | Pan Yanxue Wang Xiaojing Xu Chuanqing |
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| Affiliation: | (School of Sclence,Beijing University of Civil Engineering and Architecture, Beijing 100044) |
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| Abstract: | A model of influenza with time delay and media coverage is established. Based on the stability theory of differential equation and the theory of time-delay differential equation, the positive of the solutions is proved; the existence and local stability of both the disease-free and the endemic equilibria are also obtained. Furthermore, the numerical simulations show the impact of time-delay and media coverage on the spread and control of influenza disease. |
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| Keywords: | epidemical model media coverage delay stability numerical simulation |
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