Modeling the Spread of Tuberculosis in Semiclosed Communities

Table 2

Qualitative behaviour for system (1) as a function of the disease transmission rate 𝛽, when the condition 𝛽_𝑅0<𝛽_𝐶<𝛽_𝐵 is fulfilled.

Interval	Coefficients	Type of equilibrium
𝛽<𝛽𝑅0	𝐴>0, 𝐵>0, 𝐶>0, 𝐷>0	Disease-free equilibrium
𝛽𝑅0<𝛽<𝛽𝐶	𝐴>0, 𝐵>0, 𝐶>0, 𝐷<0	Unique endemic equilibrium
𝛽𝐶<𝛽<𝛽𝐵	𝐴>0, 𝐵>0, 𝐶<0, 𝐷<0	Unique endemic equilibrium
𝛽>𝛽𝐵	𝐴>0, 𝐵<0, 𝐶<0, 𝐷<0	Unique endemic equilibrium