| 一类离散时间的SIR传染病模型 |
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| 引用本文： | 杨建雅,张风琴. 一类离散时间的SIR传染病模型[J]. 工程数学学报, 2008, 25(4) |
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| 作者姓名： | 杨建雅 张风琴 |
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| 作者单位： | 运城学院应用数学系,运城,044000;运城学院应用数学系,运城,044000 |
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| 基金项目： | 国家自然科学基金 , 山西省自然科学基金 , 山西省重点扶持学科项目 , 山西省教育厅资助项目 |
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| 摘 要： | 本文建立了一类离散时间的SIR传染病模型。利用差分方程理论和不等式性质,分析得到易感者、染病者以及恢复者的最终状态,发现染病者数量的变化规律及阈值条件,并与相应的连续时间模型进行了比较。
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| 关 键 词： | 离散时 传染病模型 最终状态 阈值 |
A Discrete-time SIR Epidemic Model |
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| YANG Jian-ya,ZHANG Feng-qin. A Discrete-time SIR Epidemic Model[J]. Chinese Journal of Engineering Mathematics, 2008, 25(4) |
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| Authors: | YANG Jian-ya ZHANG Feng-qin |
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| Abstract: | A discrete-time epidemic model was established.By using the difference equation the-ory and inequality property,the ultimate states of the susceptible,the infective,and the removed are obtained,and the varying tendency of the number of the infective and the corresponding thresh-old condition are investigated.The obtained results were compared with that for the corresponding continuous-time model. |
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| Keywords: | discrete-time epidemic model ultimate states threshold |
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