| 带有接种的随机SIS传染病模型研究 |
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| 引用本文： | 周艳丽,濮桂萍,沈新娣.带有接种的随机SIS传染病模型研究[J].上海理工大学学报,2017,39(6):528-531. |
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| 作者姓名： | 周艳丽 濮桂萍 沈新娣 |
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| 作者单位： | 上海健康医学院 文理教学部, 上海 201318,上海健康医学院 护理与健康管理学院, 上海 201318,上海健康医学院 文理教学部, 上海 201318 |
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| 摘 要： | 研究了一类带有接种的随机SIS传染病模型.利用非负半鞅收敛定理这种简单而有效的方法找到了随机模型的阈值R_0.R_0决定了疾病的灭绝和流行.当R_01时,疾病灭绝;当R_01时,模型的解在时间均值意义下趋于一点,即此时疾病将流行.
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| 关 键 词： | 随机SIS传染病模型 阈值 接种 灭绝性 持续 |
| 收稿时间： | 2017/6/26 0:00:00 |
Stochastic SIS Epidemic Model with Vaccination |
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| ZHOU Yanli,PU Guiping and SHEN Xindi.Stochastic SIS Epidemic Model with Vaccination[J].Journal of University of Shanghai For Science and Technology,2017,39(6):528-531. |
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| Authors: | ZHOU Yanli PU Guiping and SHEN Xindi |
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| Institution: | College of Arts and Science, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China,School of Nursing and Health Mangement, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China and College of Arts and Science, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China |
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| Abstract: | A stochastic version of the delayed SIS epidemic model with vaccination was concerned.A simple but effective method was provided for estimating the threshold of a class of stochastic epidemic models by use of the nonnegative semimartingale convergence theorem.The threshold of the stochastic delayed model,denoted by R0,completely determines the extinction and prevalence of the disease.If R0<1,the disease ultimately vanishes from the population with probability one.If R0>1,the system is proved to be convergent to a point in the meaning of time mean. |
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| Keywords: | stochastic SIS epidemic model threshold vaccination extinction persistence |
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