| 一类传染病模型行波解的稳定性 |
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| 引用本文： | 杨波,王胜.一类传染病模型行波解的稳定性[J].兰州工业高等专科学校学报,2013(3):55-58. |
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| 作者姓名： | 杨波 王胜 |
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| 作者单位： | [1]兰州文理学院电子信息工程学院,甘肃兰州730000 [2]温州大学数学与信息科学学院,浙江温州325035 |
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| 基金项目： | 浙江省自然科学基金（LY12A01014）. |
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| 摘 要： | 在反应扩散传染病模型研究中,行波解表示一种传染源以常数波速在空间中传播.行波解稳定与否反应了传染病的传播形态会不会发生很大的变化.利用反应扩散方程理论和方法,研究了一类传染病模型行波解的稳定性问题.结果表明:对于c*≥2（R0-1）1/2,当初值函数在空间C0时,传染病模型具有波速c*的行波解是不稳定的;当初值函数在空间Cσ1,σ2时,波速为c*的行波解是稳定的.这将为传染病防控提供依据.
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| 关 键 词： | 传染病模型 行波解 稳定性 |
Stability of the Traveling Wave Solution to an Epidemic Model |
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| YANG Bo,WANG Sheng.Stability of the Traveling Wave Solution to an Epidemic Model[J].Journal of Lanzhou Higher Polytechnical College,2013(3):55-58. |
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| Authors: | YANG Bo WANG Sheng |
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| Affiliation: | 1. Department of Electronic and Information Engineering, Lanzhou Institute of Art and Science, Lanzhou 730000 2. College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035 ) |
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| Abstract: | In the research of reaction-diffusion epidemic model, it is important to analyze the epidemic waves which is described by traveling wave solutions propagating with a certain speed. In this paper, by using the theory and methods of reaction-diffusion equations, we investigate the stability of the traveling wave solution to an epidemic model. For c·≥2√R0-1,if the initial function locates in Co, the traveling wave solution with wave stable. It will be useful for the prevention and control of the diseases. |
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| Keywords: | reaction-diffusion epidemic model traveling wave solution stability |
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