| 带有有限资源的SIR模型的最优接种问题 |
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| 引用本文： | 柳合龙,赵彦芳.带有有限资源的SIR模型的最优接种问题[J].信阳师范学院学报(自然科学版),2014(3):313-315. |
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| 作者姓名： | 柳合龙 赵彦芳 |
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| 作者单位： | 信阳师范学院数学与信息科学学院,河南信阳,464000 |
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| 基金项目： | 国家自然科学基金项目(11271314)；河南省自然科学基金项目 |
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| 摘 要： | 当一种疾病侵袭带有免疫策略人群时,用带有感染年龄的SIR模型去描述这类疾病的传播更为准确.利用庞特里亚金极大值原理(PMP),研究了带有有限资源的SIR模型的最优接种控制问题,得到了最优策略的存在性条件.
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| 关 键 词： | 疫苗接种 哈密顿函数 最优控制 |
Optimal Vaccination Strategy in an SIR Model with Limited Resources |
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| Liu Helong,Zhao Yanfang.Optimal Vaccination Strategy in an SIR Model with Limited Resources[J].Journal of Xinyang Teachers College(Natural Science Edition),2014(3):313-315. |
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| Authors: | Liu Helong Zhao Yanfang |
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| Institution: | Liu Helong;Zhao Yanfang;College of Mathematics and Information Science,Xinyang Normal University; |
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| Abstract: | If a disease invades the vaccinated population,it is more accurate to use an SIR model with infection age to describe the transmission of disease. By Pontryagin Maximum Principle,the optimal vaccination strategy of SIR model with limited resources was investigated,and the conditions for the existence of optimal strategy were obtained. |
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| Keywords: | vaccination hamiltonian function optimal vaccination control |
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