scholarly journals Routh-hurwitz criterion and bifurcation method for stability analysis of tuberculosis transmission model

2019 ◽  
Vol 1217 ◽  
pp. 012056
Author(s):  
R Mahardika ◽  
Widowati ◽  
YD Sumanto
Keyword(s):  
Stability Analysis ◽  
Transmission Model ◽  
Bifurcation Method ◽  
Tuberculosis Transmission

Optimal Control Solution of a Tuberculosis Transmission Model with Recurrent Infection and Vaccination Using C# Programming

2014 ◽  
Vol 20 (1) ◽  
pp. 51-55
Author(s):  
J. Nainggolan ◽  
Sudradjat Supian ◽  
A. K. Supriatna ◽  
N. Anggriani ◽  
. Detiatrimargini
Keyword(s):  
Optimal Control ◽  
Recurrent Infection ◽  
Transmission Model ◽  
Control Solution ◽  
Tuberculosis Transmission ◽  
C Programming

QUALITATIVE STUDY FOR A MULTI-DRUG RESISTANT TB MODEL WITH EXOGENOUS REINFECTION AND RELAPSE

2012 ◽  
Vol 05 (04) ◽  
pp. 1250031 ◽  
Author(s):  
LUJU LIU ◽  
XINCHUN GAO
Keyword(s):  
Local Stability ◽  
Reproduction Number ◽  
Transmission Model ◽  
Drug Resistant ◽  
Full Model ◽  
Tuberculosis Transmission ◽  
Reproduction Numbers ◽  
Existence And Stability ◽  
Disease Free ◽  
Exogenous Reinfection

One tuberculosis transmission model is formulated by incorporating exogenous reinfection, relapse, and two treatment stages of infectious TB cases. The global stability of the unique disease-free equilibrium is obtained by applying the comparison principle if the effective reproduction number for the full model is less than unity. The existence and stability of the boundary equilibria are given by introducing the invasion reproduction numbers. Furthermore, the existence and local stability of the endemic equilibrium are addressed under some conditions.

Sign in / Sign up

Export Citation Format

Share Document