所属单位:数学与统计学院
发表刊物:ADVANCES IN DIFFERENCE EQUATIONS
项目来源:国家自然科学基金项目
关键字:periodic solution; SIR model; media effects; non-smooth righthand sides
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.
合写作者:祖建,王琳
第一作者:王琳
论文类型:期刊论文
卷号:136
期号:136
页面范围:1
ISSN号:1687-1847
是否译文:否
发表时间:2015-05-01