Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Joint Authors
Wang, Xiaoli
Fang, Ding
Zhang, Yongxin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered.
It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, and Bogdanov–Takens bifurcation.
Especially, a bifurcation curve with “S” shape emerges due to the nonlinear rewiring rate, which leads to multiple equilibria and twice saddle-node bifurcations.
Numerical simulations show that the model admits a homoclinic bifurcation and a saddle-node bifurcation of the limit cycle.
American Psychological Association (APA)
Fang, Ding& Zhang, Yongxin& Wang, Xiaoli. 2020. Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate. Complexity،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1143701
Modern Language Association (MLA)
Fang, Ding…[et al.]. Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate. Complexity No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1143701
American Medical Association (AMA)
Fang, Ding& Zhang, Yongxin& Wang, Xiaoli. Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate. Complexity. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1143701
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143701