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Stability and bifurcation analysis of a discrete Gompertz model with time delay лл. |
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mathfrog(金币+1): 2011-10-16 21:15:55
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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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