| 一类潜伏期和染病期均传染的流行病模型 |
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| 引用本文： | 原三领,韩丽涛,马知恩.一类潜伏期和染病期均传染的流行病模型[J].生物数学学报,2001,16(4):392-398. |
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| 作者姓名： | 原三领 韩丽涛 马知恩 |
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| 作者单位： | 西安交通大学,理学院,陕西,西安,710049 |
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| 基金项目： | 自然科学基金资助项目(19971066) |
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| 摘 要： | 本文讨论了一类含潜伏期传染的SEIRS模型，确定了各类平衡点存在的条件阀值，利用线形化和李亚普诺夫－拉塞尔不变集的方法，得到了各类平衡点的稳定性结论，揭示了潜伏期传染和染病期传染对疾病发展趋势的共同影响。
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| 关 键 词： | 流行病模型 平衡点 稳定性 潜伏期传染 |
| 文章编号： | 1001-9626(2001)04-0392-07 |
| 修稿时间： | 1999年12月13 |
A Kind of Epidemic Model Having Infectious Force in both Latent Period and Infected Period |
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| YUANG San-ling,Han Li-tao,MA Zhi-en.A Kind of Epidemic Model Having Infectious Force in both Latent Period and Infected Period[J].Journal of Biomathematics,2001,16(4):392-398. |
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| Authors: | YUANG San-ling Han Li-tao MA Zhi-en |
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| Abstract: | An SEIRS model having infectious force in the latent period is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of linearing and Lyapunov-Lassel invariant set theorem, we obtained the stable results of various equilibriums. The together influence of the latent period and infected period to the disease is exposed. |
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| Keywords: | Epidemiological models Equilibrium Stable |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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