J4 ›› 2012, Vol. 50 ›› Issue (4): 633-637.

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Global Attractivity of Nonautonomos Multiple Species Cooperative System with Biocontrols

BAI Ping, WANG Zhi-min   

  1. College of Basic Science, Changchun University of Technology, Changchun 130012, China
  • Received:2011-12-31 Online:2012-07-01 Published:2012-09-07
  • Contact: BAI Ping E-mail:bp113@sohu.com

Abstract:

 A non-autonomous multiple species Lotka-Volterra cooperative system with delayed biocontrols was investigated. With the aid of comparability theorem, constructing Lyapunov function and continuation theorem, a set of easily verifiable sufficient conditions were obtained to guarantee the permanent and positive periodic solution to be global attractivity of the system.

Key words: cooperative system, biocontrol, permanent, positive periodic solution, global attractivity

CLC Number: 

  • O175.14