DocumentCode
2245202
Title
Neimark-Sacker bifurcation and control of a discrete epidemic model
Author
Yi, Na ; Liu, Peng ; Zhang, QingLing ; Shi, Shuhui
Author_Institution
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Volume
2
fYear
2010
fDate
6-7 March 2010
Firstpage
409
Lastpage
412
Abstract
In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that the disease disappears gradually. Finally, numerical simulations illustrate the validity of the proposed results.
Keywords
bifurcation; diseases; medical control systems; tracking; Neimark-Sacker bifurcation; discrete epidemic model; forward Euler method; nonlinear incidence rate; tracking controller; Asia; Automatic control; Bifurcation; Diseases; Equations; Informatics; Numerical simulation; Predictive models; Recruitment; Robotics and automation; Neimark-Sacker bifurcation; discrete epidemic model; tracking control;
fLanguage
English
Publisher
ieee
Conference_Titel
Informatics in Control, Automation and Robotics (CAR), 2010 2nd International Asia Conference on
Conference_Location
Wuhan
ISSN
1948-3414
Print_ISBN
978-1-4244-5192-0
Electronic_ISBN
1948-3414
Type
conf
DOI
10.1109/CAR.2010.5456582
Filename
5456582
Link To Document