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具有避难所的非自治竞争系统的持续生存和全局稳定性
引用本文:赵洪涌.具有避难所的非自治竞争系统的持续生存和全局稳定性[J].数学研究,1998,31(2):163-168.
作者姓名:赵洪涌
作者单位:新疆师范大学数学系!乌鲁木齐,830054
摘    要:考虑一个四缀块模型,其中一缀块里有三个竞争种群,另外三个分别是它们的避难所,并且种群能在竞争缀块和各自的避难所间相互扩散.在一定的条件下,我们给出了此模型的持续生存,周期性和全局稳定性.

关 键 词:持续生存  周期解  全局渐近稳定性  李雅普诺夫函数

Persistence and Global Stability for a Three-Competitor Nonautonomous Model with Refuges
Zhao Hong yong.Persistence and Global Stability for a Three-Competitor Nonautonomous Model with Refuges[J].Journal of Mathematical Study,1998,31(2):163-168.
Authors:Zhao Hong yong
Abstract:In this paper,we consider a model composed of four Patches. One Patch has three competing species,the remaining Patches are refuges for the three competitors,and each species can diffuse between. It is Proved that the model can be made persistence and global stability.
Keywords:Persistence  Periodic solution  global stability  Lyapunov function  
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