宋新宇,叶凯莉.生态扩散系统全局渐近稳定的条件(英文)[J].数学研究及应用,2001,21(3):329~333
生态扩散系统全局渐近稳定的条件(英文)
Conditions for Global Stability of n-Patches Ecological System with Dispersion
  
DOI:10.3770/j.issn:1000-341X.2001.03.003
中文关键词:  
英文关键词:predator-prey system  uniform persistence  global stability.
基金项目:
作者单位
宋新宇 信阳师范学院数学研究所河南 信阳 464000
中国科学院数学研究所北京 100080 
叶凯莉 信阳师范学院数学研究所河南 信阳 464000 
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中文摘要:
      本文研究一类带扩散的非自治捕食系统,该系统由n个斑块组成,食饵种群可以在n个斑块之间扩散,而捕食者种群限定在一个斑块不能扩散.得到系统持续生存和全局渐近稳定的条件.
英文摘要:
      In this paper, a nonautonomous predator-prey dispersion model is studied, where all parameters are time-dependent. The system, which is consisted of n-patches, the prey specics can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rates effect. Furthermore, sufficient conditions are established for global stability of the system.
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