5. The following problem speaks to the battle against maalaria through insecticide and public health education....

   

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5. The following problem speaks to the battle against maalaria through insecticide and public health education. Minimize J(u) = [° [1(t) + 0.5c₁u²(t) + 0.5q₁u²(t)]dt subject to the dynamics S Eh İn R V Ė₂ İv = = = = = = = Ko + CR-ab(1 - ₁)IS - S K₁ + ab(1 — u₁) IvS — (μ + Ph) En - K₂ + PhEn ( + 8 + 0) In oIn-(+)R- K3 L(1₂) acInV - (0 +70)V acInV (0+ P + 11) Ev PvEv (0+12) Iv - - - Find the costate equations as ODEs and expressions for the optimal controls. 5. The following problem speaks to the battle against maalaria through insecticide and public health education. Minimize J(u) = [° [1(t) + 0.5c₁u²(t) + 0.5q₁u²(t)]dt subject to the dynamics S Eh İn R V Ė₂ İv = = = = = = = Ko + CR-ab(1 - ₁)IS - S K₁ + ab(1 — u₁) IvS — (μ + Ph) En - K₂ + PhEn ( + 8 + 0) In oIn-(+)R- K3 L(1₂) acInV - (0 +70)V acInV (0+ P + 11) Ev PvEv (0+12) Iv - - - Find the costate equations as ODEs and expressions for the optimal controls.

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