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(英文)[J]. 信阳师范学院学报(自然科学版), 2001, 14(2): 148-151.
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(英文)[J]. 信阳师范学院学报(自然科学版), 2001, 14(2): 148-151.
HUANG De cheng. Persistence and global stability for nonautonomous predator-prey system with diffusion and time dela[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(2): 148-151.
Citation: HUANG De cheng. Persistence and global stability for nonautonomous predator-prey system with diffusion and time dela[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(2): 148-151.

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(英文)

Persistence and global stability for nonautonomous predator-prey system with diffusion and time dela

  • 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

     

    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.

     

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