摘要
基于综合害虫防治,对具有季节性影响的Monod-Haldane型捕食与被捕食系统进行了定性分析。通过Floqnet理论,得到了捕食与被捕食系统的害虫根除周期解的全局稳定性的临界值,最后运用脉冲微分方程的比较方法证明了该系统在一定条件下是持久生存的.
According to the fact integrated pest management,the predator-prey system with the Monod-Haldane functional response and impulsive control strategies.It is proved that there exists a globally asymptotically stable pest-free periodic solution by Floquet theory and small amplitude perturbation skills.Moreover,the permanence of the system is shown by comparison theorem of impulsive differential equation.
出处
《生物数学学报》
2013年第3期499-504,共6页
Journal of Biomathematics
基金
国家自然科学基金(No.10726042)
关键词
脉冲作用
全局稳定
周期解
持久性
Impulsive
Globally asymptotically stable
Periodic solution
Permanence
