| 一类SEIS流行病模型的全局动力学分析 |
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| 引用本文： | 陈友进.一类SEIS流行病模型的全局动力学分析[J].常州信息职业技术学院学报,2004,3(2):9-12. |
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| 作者姓名： | 陈友进 |
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| 作者单位： | 安徽桐城职业技术学校,安徽,桐城,231400 |
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| 摘 要： | 在分析细菌性痢疾流行的传染源、传播途径和易感人群的基础上，本文构建了一类流行病的SEIS模型，分析了模型平衡点的稳定性，得到了疾病消除平衡点和疾病传染平衡点全局渐近稳定的充分条件，找出了疾病流行与否的阈值。
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| 关 键 词： | SEIS模型 平衡点 流行病 全局渐近稳定 细菌性痢疾 |
| 文章编号： | 1672-2434(2004)02-0009-04 |
Analysis of Global Dynamic in an Epidemical SEIS Model |
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| CHEN You-jin.Analysis of Global Dynamic in an Epidemical SEIS Model[J].Journal of Changzhou Vocational College of Information Technology,2004,3(2):9-12. |
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| Authors: | CHEN You-jin |
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| Abstract: | In this paper,based on the analysis of source of infection,spreading route and susceptible herd on bacillary dysentery,a SEIS model of epidemic was established,and the equilibrium in the model was studied,meanwhile,the sufficient conditions on the global stability of the extinct equilibrium and the survival equilibrium of the epidemic infection,thus,the threshold between disease's vogue and extinction is acquired. |
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| Keywords: | epidemic SEIS model equilibrium global stability |
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