媒体报道对一类具有潜伏期的传染病控制的影响  

Media Coverage Effect on the Control of Infectious Disease with Time Delay

作　　者：王晓娜[1] 刘茂省[1] 李有文[1] 

机构地区：[1]中北大学数学系,山西太原030051

出　　处：《数学的实践与认识》2012年第23期173-178,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10901145);山西省高等学校优秀青年学术带头人资助

摘　　要：针对媒体报道产生的信息对一类具有潜伏期的传染病控制的影响问题,建立了一类带时滞的传染病模型.计算得到模型的基本再生数R_0并证明了当R0<1时,无病平衡点局部渐近稳定.通过分析模型正平衡点处对应的特征方程,得到了模型在正平衡点处稳定的条件,给出了正平衡点处会出现Hopf分支的临界条件并得到相关结论.The present paper deals with the problem of the information induced by media coverage effect on the control of infectious disease with time delay and establish a delayed model. Basic reproductive number R0 are obtained and proved that the disease free equilibrium is local asymptotically stable if R0 〈 1. By analyzing the corresponding characteristic equations, sufficient conditions are obtained for the local stability of an endemic equilibrium and draw the conclusion.

关 键 词：媒体报道 传染病模型 时滞 稳定性 

分 类 号：O175[理学—数学]