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This study concerns modeling the H1N1 spread through the twelve official regions of Morocco using discrete spatiotemporal epidemic model including many subsystems which describe thoroughly the local characteristics inside each region and take into account the neighborhood impact. Each region has a known neighborhood deducted from the geographic map, the effect of this neighborhood is included in the model as a second process of transmission. We endeavor to reduce infectious individuals of the target area, inaccessible region, through control of certain accessible regions. Hence, we propose indirect optimal control approach in order to reduce infected individuals in the target region with the minimum cost. The optimality system is a two-point boundary value problem, with separated boundary conditions. It’s resolved by an iterative method related to Forward-Backward Sweep Method (FBSM). The effectiveness of the proposed approach is examined via numerous numerical illustrations. |
