| 年龄结构的SEIR流行病模型非负解的存在唯一性 |
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| 引用本文： | 姚峰,谢海修,李学志.年龄结构的SEIR流行病模型非负解的存在唯一性[J].信阳师范学院学报(自然科学版),2001,14(3):268-271. |
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| 作者姓名： | 姚峰 谢海修 李学志 |
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| 作者单位： | 1. 南阳卫校数学教研室,河南,南阳,473058
2. 信阳师范学院数学系,河南,信阳,464000 |
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| 基金项目： | 河南省自然科学基金资助(984051 200) |
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| 摘 要： | 讨论了一种年龄结构的SEIR流行病模型，它是一组非线性偏微分方程组，应用有界线性算子的C0－半群及其非线性扰动理论，证明了该方程组非负解的存在唯一性。
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| 关 键 词： | 年龄结构 SEIR流行病模型 C0－半群 非负解 存在唯一性 非线性偏微分方程 |
| 文章编号： | 1003-0972(2001)03-0268-04 |
The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model |
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| YAO Feng ,XIE Hai xiu ,LI Xue zhi.The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model[J].Journal of Xinyang Teachers College(Natural Science Edition),2001,14(3):268-271. |
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| Authors: | YAO Feng XIE Hai xiu LI Xue zhi |
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| Institution: | YAO Feng 1,XIE Hai xiu 2,LI Xue zhi 2 |
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| Abstract: | A class of age structured SEIR epidemic model described by a set of partial differential equations is discussed.By means of the theory of C 0 semigroup and its nonlinear perturbation of bounded linear operators,it is proved that this model has a unique nonnegative solution. |
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| Keywords: | age structured SEIR epidemic model C 0 semigroup nonnegative solution |
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