摘要
研究了一类疾病传染率受季节因素影响的SIR传染病模型的混沌运动,并采用轨迹跟踪控制方法对传染病模型中的混沌运动进行控制,设计状态反馈控制器,控制系统输出跟踪某一理想状态,使染病者数量渐近趋于零,从而,达到消除疾病的目的.仿真结果表明该方法的有效性.
In this paper, chaotic behaviors are investigated in the susceptible-infectedremoved （SIR） epidemic model with seasonal forcing in transmission rate. Furthermore, the tracking control method is used to control chaotic motions in the epidemic model. A feedback controller is designed to achieve tracking of an ideal output. The density of infected individuals can converge to zero, in other words, the disease can disappear. Finally, numerical simulation illustrates that the method is effective.
出处
《生物数学学报》
CSCD
北大核心
2008年第3期457-462,共6页
Journal of Biomathematics
关键词
传染病模型
混沌
跟踪控制
Epidemic model
Chaos
Tracking control
