摘要
运用脉冲泛函微分方程,建立了具有阶段结构和时滞效应的固定时刻分别喷洒杀虫剂和释放天敌的害虫治理模型,分别考虑在一个喷洒杀虫剂周期内多次释放天敌和在一个释放天敌周期内多次喷洒杀虫剂这两种情况,详细研究了这两类模型的动力学性质,给出了害虫灭绝周期解的存在性和全局吸引性的充分条件.本文具有很强的生物意义,为综合害虫治理问题提供了可靠的依据.
By using impulsive functional differential equation, we establish an Integrated Pest Management Model with stage structure and time delay concerning releasing natural enemies and spraying pesticides at different fixed times. We investigate the dynamics of the following two cases in detail： pesticide applications more frequent than releases of natural enemies and natural enemy releases more frequent than pesticide applications. Sufficient conditions for existence and global attractive of pest-eradication periodic solution are obtained. The biological significance of this paper is strong, and our results provide reliable strategy basis for integrated pest management problem.
出处
《生物数学学报》
2013年第1期103-110,共8页
Journal of Biomathematics
基金
国家自然科学基金项目(10971001)
辽宁省高等学校优秀人才支持计划资助项目
关键词
综合害虫治理
阶段结构
时滞效应
害虫灭绝周期解
Integrated pest management
Stage structure
Time delay
Pest-eradicationperiodic solution
