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

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。

Abstract: 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).