Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response

  • Wang, Lingshu (School of Mathematics and Statistics, Hebei University of Economics & Business) ;
  • Xu, Rui (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College) ;
  • Feng, Guanghui (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College)
  • Received : 2008.06.06
  • Accepted : 2008.12.11
  • Published : 2009.12.31
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Abstract

A stage-structured predator-prey system with time delay and Beddington-DeAngelis functional response is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated. The existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results.

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References

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