Global dynamics of discrete mathematical models of tuberculosis

Figures & data

Figure 1. Flowchart of both SEI Compartment Models (with no treatment) The chart flow of the endogenous (non-exogenous) model is obtained by deleting the arrow whose interior is coloured in orange.

Figure 2. Chartflow of the exogenous model with treatment.

Table 1. Shows that, with the given values of the parameters, the SEI is epidemic, while the SEIT model is disease-free.

	SEI Exogenous				SEIT
$S_0$	1221086000	$S^{\ast }$	493190200	$S_0$	1221086000	$S^{\ast }$	1426086000
$E_0$	500000000	$E^{\ast }$	373328700	$E_0$	500000000	$E^{\ast }$	0
$I_0$	5000000	$I^{\ast }$	546083900	$I_0$	5000000	$I^{\ast }$	0
		$T_0$	0	$T^{\ast }$	0
$N_0$	1426086000	$N^{\ast }$	1412603000	$N_0$	1426086000	$N^{\ast }$	1426086000

Table 2. shows that, with the given values of the parameters, both the SEI and SEIT are endemic.

	SEI Exogenous				SEIT
$S_0$	1221086000	S*	298833700	$S_0$	1221086000	S*	258974600
$E_0$	500000000	E*	272408700	$E_0$	500000000	E*	310962900
$I_0$	5000000	I*	834245000	$I_0$	5000000	I*	680948900
		$T_0$	0	T*	135872500
$N_0$	1426086000	N*	1405487000	$N_0$	1426086000	N*	1396758000