Research Article

Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention

Table 2

Value compiled in [1]: patches 2 and 3 correspond to rural areas, while patch 1 corresponds to urban area.

Patch 1Patch 2Patch 3 Dimension

𝛽 2 = 2 . 7 × 1 0 3 𝛽 4 = 5 . 5 × 1 0 4 𝛽 6 = 5 . 5 × 1 0 4 D a y s 1
𝛾 2 = 0 , 9 . 0 × 1 0 4 𝛾 4 = 9 . 0 × 1 0 5 𝛾 6 = 7 . 3 × 1 0 5 D a y s 1
𝜇 2 = 4 . 5 × 1 0 5 𝜇 4 = 6 . 0 8 × 1 0 5 𝜇 6 = 6 . 0 8 × 1 0 5 H u m a n s 1 × d a y s 1
𝛼 2 = 0 . 0 0 3 5 𝛼 4 = 0 . 0 0 3 5 𝛼 6 = 0 . 0 0 3 5 D a y s 1
𝜌 2 = 0 . 0 0 8 3 𝜌 4 = 0 . 0 3 5 𝜌 6 = 0 . 0 3 3 5 D a y s 1
Λ 2 = 4 . 0 Λ 4 = 0 . 5 Λ 6 = 0 . 3 H u m a n s × d a y s 1
Λ 1 = 7 0 0 Λ 3 = 5 0 0 Λ 5 = 6 0 0 M o s q u i t o e s × d a y s 1
𝜇 1 = 0 . 0 4 𝜇 3 = 0 . 0 4 𝜇 5 = 0 . 0 4 M o s q u i t o e s 1 × d a y s 1
̃ 𝑎 1 = 0 . 6 ̃ 𝑎 3 = 0 . 7 0 ̃ 𝑎 5 = 0 . 5 0 1
̃ 𝑎 2 = 6 . 0 ̃ 𝑎 4 = 1 9 . 0 ̃ 𝑎 6 = 1 9 . 0 1
𝜎 1 2 = 0 . 0 2 2 𝜎 3 4 = 0 . 0 2 2 𝜎 5 6 = 0 . 0 2 2 1
𝜎 2 1 = 0 . 2 4 𝜎 4 3 = 0 . 4 8 𝜎 6 5 = 0 . 4 8 1
𝜎 2 1 = 0 . 0 2 4 𝜎 4 3 = 0 . 0 4 8 𝜎 6 5 = 0 . 0 4 8 1