| 具有年龄结构的接种流行病模型正平衡解的全局稳定性 |
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| 引用本文： | 朱礼营,周义仓.具有年龄结构的接种流行病模型正平衡解的全局稳定性[J].生物数学学报,2003,18(1):27-32. |
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| 作者姓名： | 朱礼营 周义仓 |
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| 作者单位： | 1. 烟台师范学院,数学与计算机科学系,山东,烟台,264025
2. 西安交通大学,理学院,陕西,西安,710049 |
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| 基金项目： | 国家自然科学基金资助项目(30170823) |
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| 摘 要： | 研究一个具有年龄结构的接种SIS流行病模型正平衡解的稳定性，先利用等价积分方程给出了正平衡解存在的充分条件，再利用迭代方法及函数的单调性，得到了零平衡解与正平衡解全局稳定的充分条件。
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| 关 键 词： | 流行病模型 年龄结构 接种 稳定性 |
| 文章编号： | 1001-9626(2003)01-0027-06 |
| 修稿时间： | 2000年4月10日 |
The Global Stability of the Positive Endemic Equilibrium of an Age-Structured Epidemic Model with Vaccination |
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| ZHU Li-ying ZHOU Yi-cang.The Global Stability of the Positive Endemic Equilibrium of an Age-Structured Epidemic Model with Vaccination[J].Journal of Biomathematics,2003,18(1):27-32. |
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| Authors: | ZHU Li-ying ZHOU Yi-cang |
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| Institution: | ZHU Li-ying ZHOU Yi-cang1 Department of Mathematics and Computer Science,Y antai NormalUniversity,Y antai Shandong 264025 China 2 College of Sciences,Xi'an Jiaotong University,Xi'an Shanxi 710049 China |
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| Abstract: | In this paper we study the stability of the positive endemic equilibrium of a SIS age-structured infection disease model with vaccination.By using equivalent integral equations,we give sufficient conditions for the existence of the positive endemic equilibrium. And we obtain the sufficient conditions for the global stability of trivial equilibrium and positive endemic equilibrium by using an iterative method and the monotonicity of functions. |
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| Keywords: | Epidemic model Age-structure Vaccination Stability |
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