Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (4): 425-431.doi: 10.13371/j.cnki.chin.q.j.m.2017.04.009

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Global Stability of A Stochastic Predator-prey Model with Stage-structure

  

  1. Basic Department of Military and Politics, Army Engineering University of PLA,Shijiazhuang campus
  • Received:2015-10-05 Online:2017-12-30 Published:2020-10-20
  • About author:BAI Hong-fang(1982-), female, native of Baoji, Shaanxi, a lecturer of Shijiazhuang Mechanical Engineering College, M.S.D., engages in nonlinear dynamic system.
  • Supported by:
    Supported by the National Natural Science Foundation of China(Nos.11371368); The Natural Science Foundation of HeBei(No.A2014506015);

Abstract: In this paper, a stochastic predator-prey model with stage structure for predator and ratio-dependent functional response is concerned. Sufficient conditions for the global asymptotic stability of positive equilibrium are established. Some numerical simulations are carried out to illustrate the theoretical results. 

Key words: stochastic predator-prey model stage-structure global stability, Ito^'s formula

CLC Number: