Fig. 2From: Optimal control strategy for the effects of hard water consumption on kidney-related diseasesNumerical illustration of the model with and without control. The initial proportions of the population are \(S_H(0)=0.9\), \(I_H(0)=0.1\), \(I_R(0)=0\), \(R(0)=0\), \(W(0)=0.1\)Back to article page