Optimal control of a multi-scale HIV-opioid model

Figures & data

Figure 1. Simulations for $u_1$-only when $u_1^{max}=0.4$ and ${\text{β}}_u=0.385676$ (fitted value).

Figure 2. Simulations for $u_1$-only when $u_1^{max}=0.4$ and ${\text{β}}_u=0.1\times 0.385676$.

Figure 3. Simulations for $u_2$-only when $u_2^{max}=0.4$ and ${\text{β}}_u=0.385676$ (fitted value).

Figure 4. Simulations for $u_2$-only when $u_2^{max}=0.4$ and ${\text{β}}_u=0.1\times 0.385676$.

Figure 5. Simulations of the within-host model for $u_3$-only when $u_3^{max}=0.4$.

Figure 6. Simulations of the between-host model for $u_3$-only when $u_3^{max}=0.4$.

Figure 7. Simulations of the between-host model when $u_2^{max}=u_3^{max}=0.4$.

Figure 8. Simulations of the between-host model when $u_1^{max}=u_2^{max}=0.4$.

Figure 9. Simulations of the between-host model when $u_1^{max}=0.3$, $u_2^{max}=u_3^{max}=u_4^{max}=0.4$.

Table 1. Values of the objective functional for different strategies.

Strategy	A	B	C	D	E	F
Values of $\mathcal{J}$	$1.4410\times {10}^8$	$1.1189\times {10}^8$	$1.3903\times {10}^8$	$1.0022\times {10}^8$	$1.0048\times {10}^8$	$8.7781\times {10}^7$