Stability and Hopf Bifurcation Analysis in a Delayed MycE2FmiR-17-92 Network Involving Interlinked Positive and Negative Feedback Loops
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
MiR-17-92 plays an important role in regulating the levels of the Myc/E2F protein.
In this paper, we consider a coupling network between Myc/E2F/miR-17-92 delayed negative feedback loop and Myc/E2F positive feedback loop described by a two-dimensional delay differential equation.
Based on linear stability analysis and bifurcation theory, sufficient conditions for stability of equilibria and oscillatory behaviors via Hopf bifurcation are derived when choosing time delay as well as negative feedback strength associated with oscillations as bifurcation parameters, respectively.
Furthermore, direction and stability of Hopf bifurcation of time delay are studied by using the normal form method and center manifold theorem.
Finally, several numerical simulations are performed to verify the results we obtained.
American Psychological Association (APA)
Wang, Guiyuan& Yang, Zhuoqin. 2018. Stability and Hopf Bifurcation Analysis in a Delayed MycE2FmiR-17-92 Network Involving Interlinked Positive and Negative Feedback Loops. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152755
Modern Language Association (MLA)
Wang, Guiyuan& Yang, Zhuoqin. Stability and Hopf Bifurcation Analysis in a Delayed MycE2FmiR-17-92 Network Involving Interlinked Positive and Negative Feedback Loops. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1152755
American Medical Association (AMA)
Wang, Guiyuan& Yang, Zhuoqin. Stability and Hopf Bifurcation Analysis in a Delayed MycE2FmiR-17-92 Network Involving Interlinked Positive and Negative Feedback Loops. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1152755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152755