Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay
Joint Authors
Zhou, Xiaojian
Chen, Xin
Song, Yongzhong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays.
Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases.
Using the theories of normal form and center manifold, we also give the explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions.
Numerical tests are provided to verify our theoretical analysis.
American Psychological Association (APA)
Zhou, Xiaojian& Chen, Xin& Song, Yongzhong. 2012. Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993669
Modern Language Association (MLA)
Zhou, Xiaojian…[et al.]. Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993669
American Medical Association (AMA)
Zhou, Xiaojian& Chen, Xin& Song, Yongzhong. Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993669