摘要
研究了捕食者具有阶段结构的捕食-食饵系统在时滞和脉冲干扰下的动态行为.利用脉冲微分方程比较定理和时滞方程基本定理,得到了系统的成熟捕食者根除周期解是全局吸引的和系统持久性的充分条件,进一步得到系统所有解的一致有界性.结果显示时滞和脉冲干扰对种群的发展至关重要.
In this paper, the dynamic behavior of a stage-structured predator-prey model with delay and impulse is studied. By the comparison theorem of impulsive differential equation and the delayed differential equation, sufficient conditions for global attractiveness of the predator-eradication periodic solution and the permanence of the system are obtained. The uniform bounded of all the solutions is further given. The results show that the delayed and impulsive effects play an important role in the ecosystems.
出处
《西安工业大学学报》
CAS
2013年第9期689-693,共5页
Journal of Xi’an Technological University
基金
陕西省教育厅科学基础研究计划项目(12JK0865)
西安工业大学校长基金项目(XAGDXJJ1136)
