一类受媒体影响的传染病模型的研究

刘玉英; 肖燕妮

doi:10.3879/j.issn.1000-0887.2013.04.008

一类受媒体影响的传染病模型的研究

doi: 10.3879/j.issn.1000-0887.2013.04.008

西安交通大学数学与统计学院,西安 710049

基金项目: 国家自然科学基金资助项目（11171268）

详细信息

作者简介:
刘玉英(1989—),女,山东人,硕士 (E-mail: liuyuyinghere111@126.com);肖燕妮(1973—),女,教授,博士生导师(通讯作者. Tel:+86-29-82663156; E-mail: yxiao@mail.xjtu.edu.cn).

中图分类号: O175.13
计量
- 文章访问数: 1991
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- 被引次数: 0
出版历程
- 收稿日期: 2013-03-10
- 修回日期: 2013-04-03
- 刊出日期: 2013-04-15

An Epidemic Model With Saturated Media/Psychological Impact

Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, P.R.China

摘要

摘要: 媒体报道对传染病的感染率有着重要的影响，为探究这种影响建立了一个受媒体影响且具有分段感染率的传染病模型．首先，计算出模型的所有平衡态，并根据基本再生数的大小分析了各平衡态的局部稳定性．其次，通过排除极限换的存在性证明了平衡态的全局渐近稳定性．最后，对媒体影响传染病模型的动力学性态进行了讨论．
- 媒体影响 /
- 传染病模型 /
- 分段光滑 /
- 全局渐近稳定性
Abstract: Media has important influence on incidence rate of infectious disease. An epidemic model with segmented incidence rate was formulated and analyzed to describe the saturated media/psychology impact. Firstly all possible regular/virtual equilibria of the system was found out, and the local stability of the equilibria was analyzed in terms of the basic reproduction number. The global asymptotic stability of the positive equilibriums could then be obtained by excluding the existence of limit cycle for the system. The effect of saturated media/psychology impact on dynamics was discussed.
- media coverage /
- epidemic model /
- piecewise smooth /
- global stability

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参考文献(15)

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