| 带病程的类年龄结构SIRS流行病模型的稳定性 |
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| 引用本文： | 郭淑利.带病程的类年龄结构SIRS流行病模型的稳定性[J].河南大学学报(自然科学版),2007,37(6):562-565. |
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| 作者姓名： | 郭淑利 |
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| 作者单位： | 信阳师范学院,数学与信息科学学院,河南,信阳,464000 |
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| 基金项目： | 河南省杰出青年科学基金资助项目(0312002000)，信阳师范学院青年科研基金资助项目(20060202) |
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| 摘 要： | 建立了一类带病程的类年龄结构SIRS流行病模型,运用微积分方程理论和稳定性理论研究了该模型平衡点的稳定性,得到了无病平衡点的全局稳定性条件及特定条件下地方病平衡点的局部稳定性条件.
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| 关 键 词： | SIRS流行病模型 类年龄结构 基本再生数 平衡点 稳定性 |
| 文章编号： | 1003-4978（2007）06-0562-04 |
| 修稿时间： | 2006-09-16 |
Stability of a Class-age-structured SIRS Epidemic Model with Age-since-disease |
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| GUO Shu-li.Stability of a Class-age-structured SIRS Epidemic Model with Age-since-disease[J].Journal of Henan University(Natural Science),2007,37(6):562-565. |
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| Authors: | GUO Shu-li |
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| Institution: | College of Mathematics and In formations Science, Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | This paper models a class-age-structured SIRS epidemic model with age-since-disease. The stability of the equilibria for this model is investigated by means of the theory and methods in Differential and Integral Equation and stability, the global stability of the disease-free-equilibrium and the local stability of the endemic equilibrium under certain conditions are proved. |
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| Keywords: | SIRS epidemic model class-age-structured the basic reproductive number equilirium stability |
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