Optimal Control Strategies in an Alcoholism Model

Figure 14

Number of people in quitting compartment when we choose the weights in objective function are 𝑐₁=10⁴,  𝑐₂=10² and under different optimal control strategies, that is, (1) without control: 𝑢₁=𝑢₂=0; (2) single control: 𝑢₁=0.5, 𝑢₂=0; (3) single control: 𝑢₁=0, 𝑢₂=0.5; (4) middle control: 𝑢₁=𝑢₂=0.5; (5) optimal control: 𝑢₁=𝑢^∗₁, 𝑢₂=𝑢^∗₂.