| 一类具有变人口规模的含时滞SIS流行病模型的稳定性分析 |
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| 引用本文： | 袁艳燕,原三领,翟院青. 一类具有变人口规模的含时滞SIS流行病模型的稳定性分析[J]. 上海理工大学学报, 2012, 34(1): 27-31 |
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| 作者姓名： | 袁艳燕 原三领 翟院青 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金,上海市教委科研创新基金 |
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| 摘 要： | 建立了一类含染病期时滞、考虑因病死亡且具有双线性传染率的SIS流行病模型,其人口动力学结构是人口常数输入与自然死亡.确定了疾病传播的基本再生数;得到了无病平衡点全局渐近稳定以及地方病平衡点局部渐近稳定的条件.
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| 关 键 词： | SIS流行病模型 平衡点 基本再生数 稳定性 |
Stability Analysis on an SIS Epidemiologic Model with Delay and a Variable Population Size |
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| YUAN Yan yan,YUAN San ling and ZHAI Yuan qing. Stability Analysis on an SIS Epidemiologic Model with Delay and a Variable Population Size[J]. Journal of University of Shanghai For Science and Technology, 2012, 34(1): 27-31 |
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| Authors: | YUAN Yan yan YUAN San ling ZHAI Yuan qing |
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| Affiliation: | (College of Science,Shanghai University for Science and Technology,Shanghai 200093,China) |
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| Abstract: | The delay existing in SIS epidemiologic model corresponds to an infectious period and disease-related deaths,and hence the population size becomes variable.In the model,the population dynamics structure includes the recruitment for natural deaths and the incidence term belongs to the simple mass action incidence.The thresholds and equilibrium were determined,and the stabilities were examined.The local stability of all kinds of equilibria and the global stability of the disease -free equilibrium. |
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| Keywords: | SIS epidemic model equilibrium basic reproduction number stability |
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