Dynamics of tuberculosis with fast and slow progression and media coverage

Abstract

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.

Keywords

• tuberculosis
• media coverage
• fast and slow progression
• basic reproductive number
• bifurcation