Title :
Bifurcation analysis of a discrete-time prey-predator system under the feedback control
Author :
Que, Junxia ; Li, Biwen
Author_Institution :
Coll. of Math. & Stat., Hubei Normal Univ., Huangshi, China
Abstract :
In this paper, we study a discrete-time prey-predator system under the feedback control. By using the center manifold theorem and bifurcation theory, the conditions of the positive equilibrium undergoing flip bifurcation and Hopf bifurcation are given regarding the constant carrying capacity k as the parameter, which is more practical.
Keywords :
bifurcation; discrete time systems; feedback; predator-prey systems; Hopf bifurcation; bifurcation analysis; bifurcation theory; center manifold theorem; constant carrying capacity; discrete time prey-predator system; feedback control; flip bifurcation; positive equilibrium; Bifurcation; Biological system modeling; Manifolds; Mathematical model; Numerical models; Predator prey systems;
Conference_Titel :
Advanced Computational Intelligence (IWACI), 2011 Fourth International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-61284-374-2
DOI :
10.1109/IWACI.2011.6160057
