Title :
Bifurcation of a discrete-time predator-prey system
Author :
Zhu, Wenwen ; Fu, Chaojin ; Huang, Jian
Author_Institution :
Coll. of Math. & Stat., Hubei Normal Univ., Huangshi, China
Abstract :
The dynamics of a discrete-time predator-prey system is researched in the closed first quadrant R+2 in this paper. It is shown that the system undergoes flip bifurcation and Neimark-Sacker bifurcation in the interior of the closed first quadrant R+2 by using the center manifold theorem and bifurcation theory.
Keywords :
bifurcation; discrete time systems; predator-prey systems; Neimark-Sacker bifurcation; bifurcation theory; center manifold theorem; closed first quadrant; discrete-time predator-prey system; flip bifurcation; Bifurcation; Biological system modeling; Eigenvalues and eigenfunctions; Manifolds; Mathematical model; Predator prey systems;
Conference_Titel :
Information Science and Technology (ICIST), 2012 International Conference on
Conference_Location :
Hubei
Print_ISBN :
978-1-4577-0343-0
DOI :
10.1109/ICIST.2012.6221632
