TY - JOUR
T1 - Analysis of an in-host tuberculosis model for disease control
AU - Zhang, Wenjing
N1 - Funding Information:
Wenjing Zhang acknowledges start-up fund from Texas Tech University.
Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2020/1
Y1 - 2020/1
N2 - Tuberculosis is still a global threat to humans. In this letter, we analyzed a four-dimensional with-in host tuberculosis infection model and obtain thresholds for basic reproduction number, forward bifurcation, and backward bifurcation. Global sensitivity analysis provides parameters, which significantly influence the model dynamics. Bifurcation analysis and diagrams show parameter regions for disease elimination, latency, and active disease. Numerical simulations prove analytical results and demonstrate bistable model dynamics.
AB - Tuberculosis is still a global threat to humans. In this letter, we analyzed a four-dimensional with-in host tuberculosis infection model and obtain thresholds for basic reproduction number, forward bifurcation, and backward bifurcation. Global sensitivity analysis provides parameters, which significantly influence the model dynamics. Bifurcation analysis and diagrams show parameter regions for disease elimination, latency, and active disease. Numerical simulations prove analytical results and demonstrate bistable model dynamics.
KW - 2-dimensional bifurcation diagram
KW - Bifurcation analysis
KW - Global sensitivity analysis
KW - Tuberculosis model
UR - http://www.scopus.com/inward/record.url?scp=85070358840&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2019.07.014
DO - 10.1016/j.aml.2019.07.014
M3 - Article
AN - SCOPUS:85070358840
SN - 0893-9659
VL - 99
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 105983
ER -