Paper Title:
Stability and Bifurcation Analysis in a Food Chain Model with Delay
  Abstract

In this paper, we investigate a delayed three-species food chain model. The existence and stability of equilibria are obtained. A explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory.

  Info
Periodical
Chapter
Chapter 16: Modeling, Analysis, and Simulation of Manufacturing Processes II
Edited by
Wu Fan
Pages
3382-3388
DOI
10.4028/www.scientific.net/AMM.110-116.3382
Citation
Z. Li, "Stability and Bifurcation Analysis in a Food Chain Model with Delay", Applied Mechanics and Materials, Vols. 110-116, pp. 3382-3388, 2012
Online since
October 2011
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Gai Hui Guo, Bing Fang Li
Abstract:The Brusselator system subject to homogeneous Neumann boundary conditions is investigated. It is firstly shown that the homogeneous...
2126
Authors: Yi Jing Liu, Zhi Shu Li, Xiao Mei Cai, Ya Lan Ye
Abstract:The chaotic behaviors of the Arneodo’s system are investigated in this paper. Based on the Arneodo's system characteristic equation, the...
2550
Authors: Chang Jin Xu, Pei Luan Li, Ling Yun Yao
Chapter 16: Applied and Computational Mechanics
Abstract:In this paper, the dynamics of a van der pol model with delay are considered. It is shown that the asymptotic behavior depends crucially on...
4586
Authors: Hong Kun Zuo, Quan Bao Ji, Yi Zhou
Chapter 2: Dynamics of Mechanisms and Systems
Abstract:Calcium oscillations play a very important role in providing the intracellular signaling, and many mathematical models have been proposed to...
510
Authors: Wei Qin Yu
Chapter 4: Mechanics, Thermal and Dynamics Systems, Vibration, Noise, Applied Mechanics and Numerical Simulation Applications
Abstract:Using the analytical and numerical approaches, the nonlinear dynamic behaviors in the vicinity of a compound critical point are studied for a...
988