| 一类年龄依赖的流行病模型的动力学行为 |
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| 引用本文： | 王卓芝,李学志.一类年龄依赖的流行病模型的动力学行为[J].信阳师范学院学报(自然科学版),2003,16(3):260-269. |
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| 作者姓名： | 王卓芝 李学志 |
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| 作者单位： | 信阳师范学院,附属中学,河南,信阳,464000;信阳师范学院,数学系,河南,信阳,464000 |
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| 基金项目： | Supported by Foundation of Education Committee of Henan province(2 0 0 2 1 1 0 0 0 0 8)，Committee on Science and Technology of Henan province (0 2 1 1 0 4480 0，0 3 1 2 0 0 2 0 0 0 ) |
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| 摘 要： | 对一类年龄依赖的流行病模型进行了系统的定性分析。运用泛函分析中的线性算子理论和C0-半群理论等，首先得到相应的流行病算子的谱特征，其次，证明了该模型非负解的存在惟一性，最后讨论了系统的稳定性。
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| 关 键 词： | 年龄依赖的流行病模型 C0-半群 特征值 非负解 渐近性质 稳定性 |
The dynamical behavior of an age-dependent epidemic model |
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| Abstract.The dynamical behavior of an age-dependent epidemic model[J].Journal of Xinyang Teachers College(Natural Science Edition),2003,16(3):260-269. |
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| Authors: | Abstract |
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| Abstract: | This paper presents a systematic qualitative analysis of a class of age-dependent epidemic model.By means of the theory of linear operator and C0-semigroup in functional analysis,we first obtain the spectrum character of the corresponding epidemic operator,and then we study the existence and uniqueness of nonnegative solution of this model and the stability of this system.Finally,we reveal the quantitative relations between the control parameters and the total population number in each state via discussing the asymptotic behavior of the solution of this model. |
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| Keywords: | the age-dependent epidemic model C_0-semigroup eigenvalues non-negative solution asymptotic behavior stability |
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