带有媒体报道的禽流感(H7N9)传播影响的研究  

Research of the Impact of Media Coverage on the Avian Influenza(H7N9) Transmission

作　　者：陈瑶 孙法国[2] 王震[1] 惠小健[1] CHEN Yao;SUN Fa-guo;WANG Zhen;XI Xiao-jian(School of Science,Xijing University,Xi＇an 710123,China;College of Science,Xi＇an Polytechnic University,Xi＇an 710048,China)

机构地区：[1]西京学院理学院,陕西西安710123 [2]西安工程大学理学院,陕西西安710048

出　　处：《数学的实践与认识》2018年第19期318-322,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11726624);陕西省自然科学基础研究计划项目资助(2013JM1002)

摘　　要：建立了受媒体报道影响的禽流感（H7N9）传播动力学模型，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．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．证明了当基本再生数不大于1时，无病平衡点全局渐近稳定；当基本再生数大于1时，地方病平衡点全局渐近稳定，发现可以通过媒体报道来控制H7N9禽流感的规模．A dynamics model of the avian influenza（H7N9） transmission with media coverage is established in the article to investigate the impact of media coverage on the spread of infectious diseases, and the basic reproduction 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 basic reproduction number R0 is not larger than 1; the epidemic equilibrium is globally asymptotically stable if basic reproduction number R0 is larger than 1. In addition, the results imply that media coverage have a great influence to control the infectious diseases.

关 键 词：V函数 DULAC函数 全局稳定性 禽流感模型 

分 类 号：O175[理学—数学] R511.7[理学—基础数学]