Stability and Hopf Bifurcation of a Vector-Borne Disease Model with Saturated Infection Rate and Reinfection
Joint Authors
Hu, Zhixing
Yin, Shanshan
Wang, Hui
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-09
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper established a delayed vector-borne disease model with saturated infection rate and cure rate.
First of all, according to the basic reproductive number R0, we determined the disease-free equilibrium E0 and the endemic equilibrium E1.
Through the analysis of the characteristic equation, we consider the stability of two equilibriums.
Furthermore, the effect on the stability of the endemic equilibrium E1 by delay was studied, the existence of Hopf bifurcations of this system in E1 was analyzed, and the length of delay to preserve stability was estimated.
The direction and stability of the Hopf bifurcation were also been determined.
Finally, we performed some numerical simulation to illustrate our main results.
American Psychological Association (APA)
Hu, Zhixing& Yin, Shanshan& Wang, Hui. 2019. Stability and Hopf Bifurcation of a Vector-Borne Disease Model with Saturated Infection Rate and Reinfection. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1130457
Modern Language Association (MLA)
Hu, Zhixing…[et al.]. Stability and Hopf Bifurcation of a Vector-Borne Disease Model with Saturated Infection Rate and Reinfection. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-17.
https://search.emarefa.net/detail/BIM-1130457
American Medical Association (AMA)
Hu, Zhixing& Yin, Shanshan& Wang, Hui. Stability and Hopf Bifurcation of a Vector-Borne Disease Model with Saturated Infection Rate and Reinfection. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-17.
https://search.emarefa.net/detail/BIM-1130457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130457