| 具有饱和治疗的禽流感动力学模型的研究 |
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| 引用本文： | 郭树敏,郭丽娜,李学志.具有饱和治疗的禽流感动力学模型的研究[J].数学的实践与认识,2010,40(3). |
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| 作者姓名： | 郭树敏 郭丽娜 李学志 |
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| 作者单位： | 1. 北京信息控制研究所,北京,100037
2. 信阳师院数学与信息科学院,河南信阳,464000 |
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| 基金项目： | 国家自然科学基金(10671166) |
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| 摘 要： | 提出了一类带有治疗的禽流感动力学模型,用来分析禽流感从禽类向人类传播的过程.由于治疗禽流感的药物十分有限,提出一个带有饱和治疗的模型.通过讨论得知当禽流感疫情已经发生时,通过控制染病的禽类就可抑制禽流感在人类的传播.
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| 关 键 词： | 动力学模型 治疗 基本再生数 稳定 |
Analysis of an Avian Influenza Epidemic Model with Saturation Treatment |
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| GUO Shu-min,GUO Li-na,LI Xue-zhi.Analysis of an Avian Influenza Epidemic Model with Saturation Treatment[J].Mathematics in Practice and Theory,2010,40(3). |
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| Authors: | GUO Shu-min GUO Li-na LI Xue-zhi |
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| Institution: | GUO Shu-min~1,GUO Li-na~1,LI Xue-zhi~2 (1.Beijing Institute of Information Control,Beijing 100037,China) (2.College of Mathematics , Information Science Xinyang Normal Uiniversity,Xinyang 464000,China) |
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| Abstract: | An avian epidemic model with treatment is proposed to understand the spread avian influenza from the bird world to the human world.Because medicine which can treat avian influenza is limited,we propose the model with saturation recovery from infective individuals. It suggests that we must take measures for the birds infected with avian influenza to exterminate when avian influenza has already occurred. |
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| Keywords: | epidemic model treatment basic reproduction stability |
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