Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays
Joint Authors
Yang, Fangfang
Xia, Wanjun
Zhang, Zizhen
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-22
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with the Hopf bifurcation of a synthetic drug transmission model with two delays.
Firstly, some sufficient conditions of delay-induced bifurcation for such a model are captured by using different combinations of the two delays as the bifurcation parameter.
Secondly, based on the center manifold theorem and normal form theory, some sufficient conditions determining properties of the Hopf bifurcation such as the direction and the stability are established.
Finally, to underline the effectiveness of the obtained results, some numerical simulations are ultimately addressed.
American Psychological Association (APA)
Zhang, Zizhen& Yang, Fangfang& Xia, Wanjun. 2019. Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays. Complexity،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131426
Modern Language Association (MLA)
Zhang, Zizhen…[et al.]. Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays. Complexity No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1131426
American Medical Association (AMA)
Zhang, Zizhen& Yang, Fangfang& Xia, Wanjun. Hopf Bifurcation Analysis of a Synthetic Drug Transmission Model with Time Delays. Complexity. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1131426
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131426