Conditions for Global Stability of n-Patches Ecological System with Dispersion
  
Key Words: predator-prey system   uniform persistence   global stability.  
Fund Project:Supported by the Natural Science Foundation of Henan province (994051600)
Author NameAffiliation
SONG Xin-yu Xinyang Teachers′ College
Renan
China
Inst. of Math.
Academic Sinica
Beijing
China 
YE Kai-li Xinyang Teachers′ College
Renan
China
Inst. of Math.
Academic Sinica
Beijing
China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2001.03.003
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