摘要
基于喷洒杀虫剂及释放病虫的综合控制害虫策略,建立了具有脉冲控制的微分方程模型.利用脉冲微分方程的F loquet理论、比较定理,证明了害虫灭绝周期解的全局渐近稳定性与系统的持久性.
Based on the integrated control strategy with spraying pesticides and releasing infective pests to control pests, we construct a model of differential equations with impulsive control. Using the Floquet Theorem of impulsive differential equations and the Comparison Theorem, the globally asymptotical stability of the periodic solution of susceptible pest eradication and the permanence of the system are proven.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第17期89-94,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(10771179)
广西教育厅科研项目(200707LX143)
关键词
喷洒杀虫剂
释放病虫
脉冲控制
全局稳定性
持久性
spraying pesticides
releasing infective pests
impulsive control
global stability
permanence
