AAM  >> Vol. 4 No. 3 (August 2015)

    带有媒体报道的H7N9传染病模型的研究
    A Study of the Epidemic Model of H7N9 with Media Coverage

  • 全文下载: PDF(614KB) HTML   XML   PP.285-291   DOI: 10.12677/AAM.2015.43035  
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作者:  

陈瑶,孙法国,胡新利,刘艳:西安工程大学理学院,陕西 西安

关键词:
V函数Dulac函数全局稳定性禽流感模型V Function Dulac Function Globally Stability Avian Influenza Model

摘要:
建立了带有媒体报道的H7N9型禽流感模型,研究媒体报道对H7N9型禽流感传染病传播的影响,并得到了模型的基本再生数R0。再利用V函数、Dulac函数及极限方程理论等方法对此模型进行了稳定性分析。证明了当R0≤1时,无病平衡点全局渐近稳定;当R0>1时,地方病平衡点全局渐近稳定,发现媒体报道对控制H7N9型禽流感有很大的影响。

An epidemic model of avian influenza (H7N9) with media coverage is established in the article to investigate the impact of media coverage on the spread of infectious diseases, and the basic re-production number of model is obtained. Then, the stability of the model has been analyzed by using V function, Dulac function and the limit equation theory. We prove that the disease free equilibrium is globally asymptotically stable if R0≤1; the epidemic equilibrium is globally asymp-totically stable if R0>1. In addition, the results imply that media coverage have a great influence to control avian influenza (H7N9).

文章引用:
陈瑶, 孙法国, 胡新利, 刘艳. 带有媒体报道的H7N9传染病模型的研究[J]. 应用数学进展, 2015, 4(3): 285-291. http://dx.doi.org/10.12677/AAM.2015.43035

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