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带有扩散和时滞的非自治捕食系统的持续生存和全局稳定性
引用本文:黄德成. 带有扩散和时滞的非自治捕食系统的持续生存和全局稳定性[J]. 信阳师范学院学报(自然科学版), 2001, 14(2): 148-151
作者姓名:黄德成
作者单位:信阳教育学院,河南,信阳,464000
摘    要:讨论带有扩散和时滞的非自治捕食系统,有两种种群:一个能在两个斑块中自由扩散;而另一个被限定一个斑块中不能扩散,在一定的条件下,得到系统持续生存和全局稳定性。

关 键 词:持续生存 扩散 时滞 全局渐近稳定性 非自治捕食系统 种群 斑块
文章编号:1003-0972(2001)02-0148-04

Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
HUANG De cheng. Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2001, 14(2): 148-151
Authors:HUANG De cheng
Abstract:A nonautonomous predator prey model with diffusion and continuous time delay is studied,where all parameters are time dependent.The system,which is composed of two Lotka-Volterra patches,has two species:one can diffuse between two patches,but the other is confined to one patch and can not diffuse.The system is uniformly persistent under appropriate conditions.Furthermore,sufficient conditions are estabished for global stability of the system.
Keywords:uniform persistence  diffusion  time delay  global asymptotic stability
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