Title :
Stability and Hopf Bifurcation Analysis on a Partial Dependent Predator-prey System with Discrete and Distributed Delays
Author :
Dai, Yunxian ; Zhao, Huitao ; Lin, Yiping
Author_Institution :
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol. Kunming, Kunming, China
Abstract :
In this paper, a partial dependent prey-predator model with discrete and distributed delays is studied by using the theory of functional differential equation and Hassard´s method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given, finally, numerical simulations are also included.
Keywords :
bifurcation; functional equations; nonlinear dynamical systems; numerical stability; partial differential equations; predator-prey systems; Hassard method; Hopf bifurcation analysis; discrete delays; distributed delays; functional differential equation; numerical simulations; partial dependent predator-prey system; positive equilibrium; stability analysis; Bifurcation; Delay; Manifolds; Mathematical model; Numerical stability; Predator prey systems; Stability analysis; Hopf bifurcation; discrete delay; distributed delay; partial dependent; predator-prey system;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.20
