摘要
讨论了与害虫管理相关的一类捕食者具脉冲扰动与相互干扰的阶段结构时滞捕食-食饵模型,得到了害虫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,我们的结论为现实的害虫管理提供了一定的理论依据.
A mutual interference stage-structured predator-prey model is considered with time delay and impulsive perturbation on predators. Sufficient conditions are obtained, which guarantee the global attractivity of pest-extinction periodic solution and permanence of the system. It is shown that all solutions of the system are uniformly ultimately bounded. The obtained results can be helpful for the practical pest management.
出处
《系统科学与数学》
CSCD
北大核心
2008年第7期791-801,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10471117)
贵州省教育厅自然科学基金(2006323)资助课题
关键词
脉冲扰动
阶段结构
相互干扰
全局吸引
一致持久
Impulsive perturbation, stage-structured, mutual interference, global attractivity, permanence.
