文章基本信息

标题：Periodic solutions for a seasonally forced SIR model with impact of media coverage
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作者：Jian Zu ; Lin Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：136
DOI：10.1186/s13662-015-0477-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study periodic solutions for a seasonally forced SIR model with impact of media coverage. Usually, media reports, information processing, and individuals’ alerted responses to the information can only arise as the number of infected individuals reaches and exceeds a certain level. The piecewise smooth righthand side is introduced to describe the impact of this kind of media coverage. Using Leray-Schauder degree theory, we establish new results on the existence of at least one positive periodic solution for a seasonally forced SIR model with impact of media coverage. Some numerical simulations are presented to illustrate the effectiveness of such media coverage.
关键词：periodic solution ; SIR model ; media effects ; non-smooth righthand sides