摘要
研究一类具有脉冲控制的害虫管理SI数学模型,运用Floquet理论证明了系统害虫灭绝周期解的全局渐近稳定性,并对所得结论进行了数值模拟.
A pest management SI model with impulsive control strategies is studied firstly.The globally asymptotical stability of the periodic pest-extinction solution is proved by the Floquet＇s theory. Furthermore, those results obtained in this paper are confirmed by numerical simulation.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第13期132-137,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10671166)
河南省教育厅自然科学基金(2009B110019)
关键词
脉冲控制
周期解
全局吸引
全局渐近稳定
impulsive control
periodic solution
global attractivity
global asymptotic stability
