Title :
Notice of Retraction
Stability of positive solutions of an N-patch predator-prey system with random perturbation
Author :
Hailong Gao ; Yanqiu Li
Author_Institution :
Dept. of Basic Sci., Jilin Jianzhu Univ., Changchun, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper we discuss a randomized predator-prey dynamical system, which is composed of several patches connected by linear diffusion. Firstly, the situation that the positive solution of this system will not explode to infinity in a finite time according to lyapunov method is presented. Secondly, the results calculated by lyapunov functions and graph theory are demonstrated that the positive equilibrium is a global-stability under simple assumptions. Finally, the performance of this method is analyzed, and the existing results are proved to be improved.
Keywords :
Lyapunov methods; graph theory; predator-prey systems; stability; Lyapunov method; N-patch predator-prey system; finite time; global stability equilibrium; graph theory; linear diffusion; randomized predator-prey dynamical system; Asymptotic stability; Eigenvalues and eigenfunctions; Graph theory; Lyapunov methods; Mathematical model; Predator prey systems; Stability analysis; global stability; graph theory; linear diffusion; lyapunov functions; positive solution;
Conference_Titel :
Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE), 2013 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-1014-4
DOI :
10.1109/QR2MSE.2013.6625993
