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Fig. 6 | Malaria Journal

Fig. 6

From: Optimal control of malaria: combining vector interventions and drug therapies

Fig. 6

Vector control costs, unlike medical care costs, are insensitive to the form of cost function. a Cost per capita for the optimal strategy over a 40 day control period for three cost functions: linear, quadratic and square root; and three epidemiological parameter sets: low, medium and high (for low \(a,b,c,k^* = 75\%\) of medium, for high \(a,b,c,k^* = 125\%\) of medium). In the top figure of a the cost function \(C_h\) is varied while keeping \(C_u\) and \(C_w\) quadratic (\(m_2 = m_3 = 2\)); in the bottom figure the cost function \(C_u\) is varied while keeping \(C_h\) and \(C_w\) quadratic (\(m_1 = m_2 = 2\)). The number of cases averted is approximated by ([mean no. with no control - mean no. with control]/average duration of disease) \(\times\) no. of days). b A sketch of the three cost functions \(\hat{\theta }_i (\cdot )\) (linear), \(\hat{\theta }_i (\cdot )^{1/2}\) (square root) and \(\hat{\theta }_i (\cdot )^2\) (quadratic), where the altered price \(\hat{\theta }_i\) that multiplies the cost function is: 0.8 (square root), 1 (linear), 1.5 (quadratic). Late-acting SIT is used

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