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Global asymptotic stability of Lotka-Volterra systemwith variable time delays

GAI Ping1, HUANG Qing-dao2, FU Miao-miao3   

  1. 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China;2. Department of Applied Mathematics, College of Mathematics, Jilin University, Changchun 130023, China;3. Department of Mathematics, Changchun Normal College, Changchun 130032, China
  • Received:2004-01-08 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
  • Contact: GAI Ping

Abstract: The Lyapunov function is used to derive a set of easily verifiable sufficient conditions for the global asymptotic stability of the Lo tka-Volterra system with variable time delays. Some new results are obtained, some related known results are improved and generalized.

Key words: global asymptotic stability, Lotka-Volterra system, va riation rate

CLC Number: 

  • O175.1