Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence
Joint Authors
Wang, Yougang
Zhang, Zizhen
Guerrini, Luca
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with a delayed SVEIR worm propagation model with saturated incidence.
The main objective is to investigate the effect of the time delay on the model.
Sufficient conditions for local stability of the positive equilibrium and existence of a Hopf bifurcation are obtained by choosing the time delay as the bifurcation parameter.
Particularly, explicit formulas determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are derived by using the normal form theory and the center manifold theorem.
Numerical simulations for a set of parameter values are carried out to illustrate the analytical results.
American Psychological Association (APA)
Zhang, Zizhen& Wang, Yougang& Guerrini, Luca. 2018. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119275
Modern Language Association (MLA)
Zhang, Zizhen…[et al.]. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119275
American Medical Association (AMA)
Zhang, Zizhen& Wang, Yougang& Guerrini, Luca. Bifurcation Analysis of a Delayed Worm Propagation Model with Saturated Incidence. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119275
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119275