Bifurcation Analysis of a Delayed Infection Model with General Incidence Function
Joint Authors
Zhang, Suxia
Dong, Hongsen
Xu, Jinhu
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-09
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, an infection model with delay and general incidence function is formulated and analyzed.
Theoretical results reveal that positive equilibrium may lose its stability, and Hopf bifurcation occurs when choosing delay as the bifurcation parameter.
The direction of Hopf bifurcation and the stability of the periodic solutions are also discussed.
Furthermore, to illustrate the numerous changes in the local stability and instability of the positive equilibrium, we conduct numerical simulations by using four different types of functional incidence, i.e., bilinear incidence, saturation incidence, Beddington–DeAngelis response, and Hattaf–Yousfi response.
Rich dynamics of the model, such as Hopf bifurcations and chaotic solutions, are presented numerically.
American Psychological Association (APA)
Zhang, Suxia& Dong, Hongsen& Xu, Jinhu. 2019. Bifurcation Analysis of a Delayed Infection Model with General Incidence Function. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1130483
Modern Language Association (MLA)
Zhang, Suxia…[et al.]. Bifurcation Analysis of a Delayed Infection Model with General Incidence Function. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1130483
American Medical Association (AMA)
Zhang, Suxia& Dong, Hongsen& Xu, Jinhu. Bifurcation Analysis of a Delayed Infection Model with General Incidence Function. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1130483
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130483