Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 533-541.

• Articles • Previous Articles     Next Articles

PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS

 XU Rui, CHEN Lan-Sun   

  1. Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2002-10-14 Published:2002-10-14

Abstract:

A three-species ratio-dependent predator-prey diffusion model with time de-lays is investigated. It is shown that the system is uniformly persistent under some ap- propriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.

Key words: Time delay, diffusion, uniform persistence, global asymptotic stability

CLC Number: 

  • 34D23
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