| GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS |
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| 作者姓名： | 靳祯 马知恩 韩茂安 |
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| 作者单位： | Department of Mathematics North University of China Taiyuan 030051，China，Department of Mathematics Shanghai Normal University，Shanghai 200234，China，Department of Applied Mathematics Shanghai Jiaotong University，Shanghai 200030，China |
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| 基金项目： | This work is supported by the National Sciences Foundation of China (10471040)
the Youth Science Foundations of Shanxi Province (20021003). |
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| 摘 要： | In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable with a respect "weak delay". Some known results are generalized.
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| 关 键 词： | 整体稳定性 流行模型 时间迟滞 lyapunov函数 数学分析 |
| 收稿时间： | 2003-10-18 |
| 修稿时间： | 2004-11-30 |
GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS |
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| Zhen Jin,Ma Zhien,Han Maoan.GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS[J].Acta Mathematica Scientia,2006,26(2):291-306. |
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| Authors: | Zhen Jin Ma Zhien Han Maoan |
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| Abstract: | In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable with a respect "weak delay". Some known results are generalized. |
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| Keywords: | SIRS epidemic model time delay global asymptotic stability lyapunov functional |
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