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

fYear

2012

fDate

18-21 Oct. 2012

Firstpage

49

Lastpage

53

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on

Conference_Location

Dalian

Print_ISBN

978-1-4673-2825-8

Type

conf

DOI

10.1109/IWCFTA.2012.20

Filename

6383277