摘要
研究了与生物资源管理相关的食饵具脉冲扰动与成年捕食者具连续收获的阶段结构时滞捕食-食饵模型.利用离散动力系统的频闪映射和脉冲时滞微分方程理论,得到了捕食者灭绝周期解的全局吸引和系统持久的充分条件,也证明了系统的所有解的一致完全有界.结论为现实的可再生生物资源管理提供了可靠的策略依据.
In this work,we consider a stage-structured predator-prey biological resource management model with impulsive perturbations on prey and continuous harvesting on immature predator.By use of the discrete dynamical system determined by the stroboscopic map and the theory of impulsive delay differential equations,sufficient conditions which guarantee the global attractivity of predator-extinction periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded.Our results provide reliable tactic basis for the practical biological resource management.
出处
《生物数学学报》
CSCD
北大核心
2010年第3期465-474,共10页
Journal of Biomathematics
基金
国家自然科学基金(10961008)资助
关键词
脉冲扰动
捕食-食饵模型
连续收获
全局吸引
持久
Impulsive perturbations
Predator-prey model
Continuous harvesting
Global attractivity
Permanence
