Dynamic Properties of a Differential-Algebraic Biological Economic System
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We analyze a differential-algebraic biological economic system with time delay.
The model has two different Holling functional responses.
By considering time delay as bifurcation parameter, we find that there exists stability switches when delay varies, and the Hopf bifurcation occurs when delay passes through a sequence of critical values.
Furthermore, we also consider the stability and direction of the Hopf bifurcation by applying the normal form theory and the center manifold theorem.
Finally, using Matlab software, we do some numerical simulations to illustrate the effectiveness of our results.
American Psychological Association (APA)
Zhang, Hongyang& Zhang, Chunrui. 2012. Dynamic Properties of a Differential-Algebraic Biological Economic System. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993035
Modern Language Association (MLA)
Zhang, Hongyang& Zhang, Chunrui. Dynamic Properties of a Differential-Algebraic Biological Economic System. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993035
American Medical Association (AMA)
Zhang, Hongyang& Zhang, Chunrui. Dynamic Properties of a Differential-Algebraic Biological Economic System. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993035
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993035