| 一类传染病模型的全局解 |
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| 引用本文： | 夏立标.一类传染病模型的全局解[J].浙江大学学报(理学版),2010,37(5):489-492. |
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| 作者姓名： | 夏立标 |
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| 作者单位： | 宿迁高等师范学校,数学系,江苏,宿迁,223800 |
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| 摘 要： | 研究一个具时滞和扩散的传染病模型,该模型数学上可用非线性反应扩散方程组描述,重点研究了该方程组解的定性性质.用上下解的方法证明了该方程组全局解的存在唯一性.
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| 关 键 词： | 反应扩散系统 SIR模型 传染病 时滞 |
The global solution of an epidemic model |
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| XIA Li-biao.The global solution of an epidemic model[J].Journal of Zhejiang University(Sciences Edition),2010,37(5):489-492. |
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| Authors: | XIA Li-biao |
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| Institution: | XIA Li-biao (Department of Mathematies,Suqian College,Suqian 223800,Jiangsu Province,China) |
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| Abstract: | An epidemic model with delay and diffusion is studied.It can be described mathematically by nonlinear reaction-diffusion equations.The existence and uniqueness of the global solution to the reaction-diffusion equations was given by using the upper and lower solutions. |
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| Keywords: | reaction-diffusion systems SIR model epidemic delay |
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