Open AccessDynamics of tuberculosis with fast and slow progression and media coverage
Author(s) -
Ya Dong Zhang,
Hai Feng Huo,
Xia Hong
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019055
Subject(s) - sensitivity (control systems) , media coverage , basic reproduction number , tuberculosis , stability (learning theory) , bifurcation , center manifold , manifold (fluid mechanics) , statistical physics , mathematics , computer science , econometrics , physics , demography , engineering , medicine , sociology , hopf bifurcation , media studies , population , pathology , nonlinear system , quantum mechanics , electronic engineering , machine learning , mechanical engineering
A new tuberculosis model with fast and slow progression and media coverage is formulated and analyzed. The basic reproductive number R0 is derived, and the existence and stability of all the equilibria are discussed. The occurrences of forward and backward bifurcation are obtained by using center manifold theory. Numerical simulations are also given to support our theoretical results. Sensitivity analysis on a few parameters is also carried out. Our results show that media coverage can encourage people to take measures to avoid potential infections and control the spread of tuberculosis.