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

Mathematics

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