[1]王世飞,邹定宇.具疾病年龄结构和隔离的SIQS 模型分析[J].常州大学学报(自然科学版),2005,(02):54-57.
　WANG Shi -fei,ZOU Ding -yu.An SIQS Epidemic Model with Quarantine and Avariable Infection Periods[J].Journal of Changzhou University(Natural Science Edition),2005,(02):54-57.
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具疾病年龄结构和隔离的SIQS 模型分析()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2005年02期
页码:
54-57
栏目:
出版日期:
2005-06-25

文章信息/Info

Title:
An SIQS Epidemic Model with Quarantine and Avariable Infection Periods
作者:
王世飞;  邹定宇
江苏工业学院信息科学系, 江苏 常州 213016
Author(s):
WANG Shi -fei ;  ZOU Ding -yu
Department of Info rmation Science , Jiangsu Poly technic University , Changzhou 213016 , China
关键词:
疾病年龄; 隔离; 流行病模型; 阈值; 平衡点; 稳定性
Keywords:
age of latent ; isolation ; SEIQ epidemic model ; threshold ; steady states ; stability
分类号:
O 175.1
文献标志码:
A
摘要:
建立和研究了具疾病年龄结构和隔离的S IQS 模型。运用微分方程和积分方程中的理论和方法, 得到基本再生数R 0 的表 达式, 证明了当R 0 <1 时, 存在全局渐近稳定的无病平衡点。当R0 >1 且γ(θ) =c 时, 存在局部渐近稳定的地方病平衡点。
Abstract:
In this paper , an SIQS epidemic model with quarantine and variable infection periods was discussed . Under the assumption of constant birth of individuals in the population , the explicit formula of the reproductive number R 0 <1 was obtained .It w as proved that the disease -free equilibrium was globally asymptotically stable if R 0 <1 .The endemic equilibrium was locally asympto tically stable , if conditions R 0 >1 and γ(θ) =c held .

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备注/Memo

备注/Memo:
作者简介:王世飞(1977 -), 女, 山西长治人, 硕士, 主要从事生物数学方向的研究。
更新日期/Last Update: 2005-06-25