应用数学和力学2013，Vol.34Issue(4)：399-407,9.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
An Epidemic Model With Saturated Media/Psychological Impact
摘要
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.关键词
媒体影响/传染病模型/分段光滑/全局渐近稳定性Key words
media coverage/ epidemic model/ piecewise smooth/ global stability分类
数理科学引用本文复制引用
刘玉英,肖燕妮..一类受媒体影响的传染病模型的研究[J].应用数学和力学,2013,34(4):399-407,9.基金项目
国家自然科学基金资助项目(11171268) （11171268）
