摘要
香蕉叶病虫害是植物病害中非常重要的研究领域,若能积极有效地控制香蕉病害,对具体的农业生产有着巨大的经济价值和指导意义.本文研究具有连续时滞的Logistic增长模型的香蕉叶病虫害的状态脉冲反馈控制系统,利用线性链技巧将系统转成非线性微分方程组,通过Lyapunov方法证明弱时滞核函数下正平衡态全局稳定,最后利用微分方程几何理论中后继函数法得到系统阶一周期解存在的充分条件,并证明该周期解是轨道渐近稳定的.
Impulsive state feedback control system of banana leaf pests with continuous delayed Logistic growth model is discussed in this paper.By applying the technique of linear chain,the system is transformed into nonlinear differential equations.In addition,by constructing the Lypunov function,we study the global stability of positive equilibrium in the weak kernel function of delay.Finally,we obtain sufficient conditions for the existence of order one periodic solution through the geometry theory of semicontinuous dynamic and the method of successor function,and we also prove this order one periodic solution is orbitally asymptotically stable.
出处
《生物数学学报》
2014年第3期385-394,共10页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of China(11161052)
the Natural Science Foundation of Guangxi Province(2011jjA10044)
the Scientific Research Foundation of Guangxi Education Office(201012MS183)
the Sustentation Fund of the Elitists for Guangxi Universities(GJRC0831)
关键词
香蕉叶病虫害
半连续动力系统
后继函数
阶一周期解
Banana leaf pests
Semicontinuous dynamical system
Successor function
Order one periodic solution
