Prevention strategy for superinfection mathematical model tuberculosis and HIV associated with AIDS

Figures & data

Table 1. Description of parameter and its values

Notation	Parameter description	Value
$\mu$	The rate of recruitment	$0.0235$
$d_n$	Natural death rate	$0.0213$
${\gamma }_1$	Parameter of modification	$0.1123$
${\gamma }_2$	Parameter of modification	$0.11889$
$k_1$	The rate through which individuals left $L_T(t)$ class and got infection	$0.0125$
$k_2$	The rate through which individuals left $L_{TH}(t)$ class and got TB infection	$0.0825$
$k_3$	The rate through which individuals left $L_{TH}(t)$ class	$0.2358$
${\tau }_1$	Rate for TB treatment in $L_T(t)$ individuals	$0.2230$
${\tau }_2$	Rate for TB treatment in $I_T(t)$ individuals	$0.2893$
$d_T$	Death rate induced by TB	$0.1110$
$\delta$	Parameter of modification	$0.3100$
${\rho }_1$	The rate through which individuals left $I_H(t)$ class to A	$0.5000$
${\rho }_2$	The rate through which individuals left $I_{TH}(t)$ class	$0.5800$
$\varphi$	The rate of HIV treatment in $I_H(t)$ individuals	$0.1969$
${\alpha }_1$	The AIDS treatment rate	$0.0035$
${\alpha }_2$	The rate of HIV treatment in $A_T(t)$ individuals	$1.0000$
${\omega }_1$	The rate through which individuals left $C_H(t)$ class	$0.1030$
${\omega }_2$	The rate through which individuals left $R_H(t)$ class	$0.0921$
$d_A$	Death rate induced by AIDS	$0.0035$
$r$	Fraction of $L_{TH}(t)$ treatment rate of HIV and TB individuals	$0.6660$
$\lambda$	Individuals having active TB rate and susceptible	$0.2345$
${\lambda }_h$	Active HIV rate individuals	$0.345$
$u_1$	Use a control parameter	$0.2212$
$u_1$	Use a control parameter	$0.0011$
${\beta }_1$	The rate of TB transmission	$1.7000$
${\beta }_2$	The rate of HIV transmission	$0.1000$
$d_{TA}$	Death rate induced by AIDS-TB	$0.2100$
${\eta }_C$	Parameter of modification	$0.0900$
${\eta }_A$	Parameter of modification	$0.6000$

Figure 1. The plot shows the behavior of susceptible individuals either with and without control.

Figure 2. The plot shows the behavior of Latent TB individuals either with and without control.

Figure 3. The plot shows the behavior of active TB individuals either with and without control.

Figure 4. The plot shows the behavior of TB-recovered individuals either with and without control.

Figure 5. The plot shows the behavior of HIV with no AIDS symptoms in individuals either with and without control.

Figure 6. The plot shows the behavior of HIV/AIDS individuals either with and without control.

Figure 7. The plot shows the behavior of HIV-infected individuals either with and without control.

Figure 8. The plot shows the behavior of latent TB/HIV-infected individuals either with and without control.

Figure 9. The plot shows the behavior of active TB/HIV-infected individuals either with and without control.