摘要
基于害虫生物控制策略,研究固定时刻投放天敌和种植树木的脉冲种群系统模型,利用Floquer理论和比较原理,研究害虫灭绝周期解的存在性和全局渐进稳定性,给出系统持续存在的条件.
This paper introduces the systematic model for the pulse population, which is applied to the reseach of predator release and plantation of trees at fixed moment, based on the biological control strategy of injurious insects. By means of Floquer theory and comparison principle, this paper studies the existence of the periodic solution to injurious insect extinction as well as the overall asymptotic stability. Meanwhile, the condition of the system constant existence is given.
出处
《温州大学学报(自然科学版)》
2014年第4期25-31,共7页
Journal of Wenzhou University(Natural Science Edition)
基金
河南省教育厅科学技术研究重点项目(12B110012)
关键词
森林害虫
脉冲投放
时滞
稳定性
周期解
Injurious Forest-insect
Pulse In-put
Time-lag
Stability
Periodic Solution