| 具有潜伏期的无免疫型传染病动力学模型的分析 |
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| 引用本文： | 唐荣荣.具有潜伏期的无免疫型传染病动力学模型的分析[J].生物数学学报,2009(4):681-687. |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | [1]湖州师范学院数学系,浙江湖州313000; [2]上海高校计算科学E一研究院,上海交通大学研究所,上海200240 |
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| 基金项目： | 国家自然科学基金项目（No.10471039）; 浙江省自然科学基金项目（No.Y6090164）; 上海市教育委员会E-研究院建设计划项目（No.E03004） |
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| 摘 要： | 研究了一类具有潜伏期的无免疫型传染病动力学模型,用摄动理论讨论分析了相应的非线性系统,得到了不同群体生存变化的渐近表达式,从而揭示了各种作用对不同群体生存影响的规律.本文的研究为解决一些类型的非线性模型提供了一种有效的方法.
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| 关 键 词： | 无免疫型传染病 潜伏期 动力学模型 渐近分析 摄动 |
The Analysis for Dynamic Model of Infectious Diseases without Immunity and with Latent Period |
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| TANG Rong-rong.The Analysis for Dynamic Model of Infectious Diseases without Immunity and with Latent Period[J].Journal of Biomathematics,2009(4):681-687. |
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| Authors: | TANG Rong-rong |
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| Institution: | TANG Rong-rong (1 Huzhou Teachers College,Huzhou Zhejiang 313000 China; 2 Division of Computational Science,E-Institute of Shanghai Universities,at SJTU,Shanghai 200240 China) |
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| Abstract: | The dynamic model for the infectious diseases without immunity and with latent period is considered.Using the perturbed theory,the nonlinear system is operated,the asymptotic expansion for the livability of each group is obtained,the infection to the livability of each group for each action is discovered.Thus,under this paper an available method is given to estimate the solution of some class of nonlinear problems. |
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| Keywords: | Infectious diseases without immunity Latent period Dynamic model Asymptotic analysis Perturbation |
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