Constrained minimization problems for the reproduction number in meta-population models (Q1633939)

The authors consider two constrained optimization problems in meta-population models for vaccine preventable diseases. Previous papers consider cases in which an optimal vaccination strategy exists. However, in general, the optimal solution identified using the gradient may not be feasible for some parameter values (i.e., vaccination coverages outside the unit interval). In this paper, the authors derive the analytic conditions under which the optimal solution is feasible.