Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays
Joint Authors
Yousfi, Noura
Hattaf, Khalid
Besbassi, Hajar
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A generalized chikungunya virus (CHIKV) infection model with nonlinear incidence functions and two time delays is proposed and investigated.
The model takes into account both modes of transmission that are virus-to-cell infection and cell-to-cell transmission.
Furthermore, the local and global stabilities of the disease-free equilibrium and the chronic infection equilibrium are established by using the linearization and Lyapunov functional methods.
Moreover, the existence of Hopf bifurcation is also analyzed.
Finally, an application is presented in order to support the analytical results.
American Psychological Association (APA)
Besbassi, Hajar& Hattaf, Khalid& Yousfi, Noura. 2020. Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153216
Modern Language Association (MLA)
Besbassi, Hajar…[et al.]. Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153216
American Medical Association (AMA)
Besbassi, Hajar& Hattaf, Khalid& Yousfi, Noura. Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153216
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153216