PERIODIC SOLUTIONS OF A DISCRETE-TIME NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH THE BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

  • Dai, Binxiang (School of Mathematical Science and Computing Technology, Central South University) ;
  • Zou, Jiezhong (School of Mathematical Science and Computing Technology, Central South University)
  • Published : 2007.05.31

Abstract

In this paper, we investigate a discrete-time non-autonomous predator-prey system with the Beddington-DeAngelis functional response. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions.

Keywords