[SCI通讯第二]Periodic solutions for a seasonally forced SIR model with impact of media coverage

Release time:2022-06-20  Hits:

• Affiliation of Author(s):数学与统计学院
• Journal:ADVANCES IN DIFFERENCE EQUATIONS
• Funded by:国家自然科学基金项目
• Key Words:periodic solution; SIR model; media effects; non-smooth righthand sides
• Abstract: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.
• Co-author:祖建,王琳
• First Author:wanglin
• Indexed by:Journal paper
• Volume:136
• Issue:136
• Page Number:1
• ISSN No.:1687-1847
• Translation or Not:no
• Date of Publication:2015-05-01