J4 ›› 2012, Vol. 47 ›› Issue (5): 103-107.

• Articles • Previous Articles     Next Articles

Bifurcation solutions and stability of a predator-prey system with predator saturation and competition

FENG Xiao-zhou1,2, NIE Hua2   

  1. 1. College of Science, Xi’an Technological University, Xi’an 710032, Shaanxi, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2010-11-10 Online:2012-05-20 Published:2012-06-01

Abstract:

A predator-prey system with predator saturation and competition is investigated. The uniqueness, existence and stability of bifurcation solution which bifurcates from double multiplicity eigenvalue are obtained by using the Lyapunov-Schmidt procedure.

Key words: predator-prey system; bifurcation solutions; asymptotical stability

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