摘要
考虑了一类阶段结构的捕食模型.根据Hale和Waltman著名的持续生存理论,获得了系统持续生存的充分且必要条件.结果表明:捕食者的成熟时滞和食饵的反馈时滞对种群持续生存方面起着重要作用.
A stage-structured predator-prey model with delay is considered. Based on Hale and Waltman's famous persistence theory, the sufficient and necessary conditions which guarantee the permanence of system are derived. Resuits show that the maturation time delay of the predator and the negative feedback of the prey play an important role in determining the permanence of the species.
出处
《信阳师范学院学报(自然科学版)》
CAS
北大核心
2007年第1期10-13,77,共5页
Journal of Xinyang Normal University(Natural Science Edition)
基金
Supported by the NSF of China(10471117)
Xinyang Normal University youth foundation project(20050106)
关键词
阶段结构
持续生存
灭绝
时滞
stage-structure
permanence
extinction
time delay