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mathfrog(金币+1): 2011-10-16 21:15:55
Accession number: 20113514290945
Title: Stability and bifurcation analysis of a discrete Gompertz model with time delay
Authors: Li, Yingguo1
Author affiliation: 1 School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, China
Corresponding author: Li, Y. (yguoli@fjnu.edu.cn)
Source title: Proceedings of World Academy of Science, Engineering and Technology
Abbreviated source title: Proc. World Acad. Sci. Eng. Technol.
Volume: 80
Issue date: August 2011
Publication year: 2011
Pages: 1441-1444
Language: English
ISSN: 2010376X
E-ISSN: 20103778
Document type: Journal article (JA)
Publisher: WASET - World Academy of Science, Engineering and Technology, Adem Yavuz Cd 6/A7, Bayrampasa, Istanbul, 34045, Turkey
Abstract: In this paper, we consider a discrete Gompertz model with time delay. Firstly, the stability of the equilibrium of the system is investigated by analyzing the characteristic equation. By choosing the time delay as a bifurcation parameter, we prove that Neimark- Sacker bifurcations occur when the delay passes a sequence of critical values. The direction and stability of the Neimark-Sacker are determined by using normal forms and centre manifold theory. Finally, some numerical simulations are given to verify the theoretical analysis.
Number of references: 14
Main heading: Bifurcation (mathematics)
Controlled terms: Stability - Time delay
Uncontrolled terms: Bifurcation parameter - Characteristic equation - Critical value - Gompertz model - Gompertz system - Manifold theory - Neimark-Sacker bifurcation - Normal form - Stability and bifurcation analysis
Classification code: 961 Systems Science - 951 Materials Science - 931 Classical Physics; Quantum Theory; Relativity - 921 Mathematics - 801 Chemistry - 731 Automatic Control Principles and Applications - 713 Electronic Circuits
Database: Compendex |
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