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Theory and Modern Applications

Table 3 Ranges of control parameters and values of limit peaks for each policy

From: A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen

Policy

\(( [ \alpha _{a}^{l}, \alpha _{a}^{u} ], [ \alpha _{i}^{l}, \alpha _{i}^{u} ], [ \kappa ^{l}, \kappa ^{u} ], [ u^{l}, u^{u} ] )\)

\(( I_{1}^{\mathrm{peak}}, I_{2}^{\mathrm{peak}} )\)

The associated cost

No control

([0,0],[0,0],[0,0],[0,0])

(105,5 × 105)

–

Med control

([0.2,0.4],[0.1,0.2],[0.2,0.25],[0.25,0.75])

(104,5 × 105)

4.5349228133

Max control

([0.4,0.5],[0.25,0.3],[0.25,0.3],[0.75,1])

(104,5 × 105)

2.8707575932

Mix control

([0.2,0.4],[0,0.1],[0.2,0.3],[0.7,0.9])

(104,5 × 105)

1.9432928849

Min peaks

([0.4,0.5],[0.1,0.2],[0.15,0.2],[025,0.95])

(104,5 × 105)

0.16289408246

Max peaks

([0.4,0.5],[0.1,0.2],[0.15,0.2],[0.25,0.95])

(105,5 × 105)

13.678641590