Title :
The analysis of stability and bifurcations for a tuberculosis model
Author :
Yi, Na ; Liu, Peng
Author_Institution :
Sch. of Sci., Liaoning Shihua Univ., Fushun, China
Abstract :
This paper deals with the dynamic behaviors of a tuberculosis (TB) model with disease-related death rate. The stability of the system is discussed by stability theory. The conditions of existence for transcritical bifurcation and Saddle-Node bifurcation are derived by using bifurcation theory. Finally, the numerical verifications of analytic results are done.
Keywords :
bifurcation; differential algebraic equations; diseases; epidemics; stability; Saddle-Node bifurcation; bifurcation theory; differential algebraic system; disease-related death rate; stability analysis; stability theory; transcritical bifurcation; tuberculosis model dynamic behavior; Bifurcation; Diseases; Mathematical model; Numerical models; Numerical stability; Stability analysis; Bifurcations; Epidemic model; Stability; Tuberculosis;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968552
