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Stability and bifurcation analysis of a discrete Gompertz model with time delay

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inhaul

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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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mathfrog

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感谢inhaul
3楼2011-10-16 21:14:26
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