Acta mathematica scientia,Series A

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A Stage-Structured Predator-Prey Model with Time Delays

Xu Rui; Hao Feilong ;Chen Lansun   

  1. Institute of Applied Mathematics, Ordnance Engineering College, Shijiazhuang 050003;
    College of Science, Xi'an Jiaotong University, Xi'an 710049
  • Received:2004-06-18 Revised:2005-07-03
  • Contact: Xu Rui

Abstract: A delayed predator-prey model with stage structure for prey is
investigated. By constructing suitable Lyapunovfunctionals, the authors discuss the global attractivity of nonnega tiveequilibria. A set of easily verifiable sufficient conditions are derived for the permanence and extinction of the proposed ecological system.

Key words: Stage structure, Predator-prey model, Time delay, Permanence, Extinction

CLC Number: 

  • 34K20
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