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## Optimal vaccine allocation during the mumps outbreak in two SIR centres

Chernov A., Kelbert M., Shemendyuk A.

The aim of this work is to investigate the optimal vaccine sharing between two SIR centres in the presence of migration fluxes of susceptibles and infected individuals during the mumps outbreak. Optimality of the vaccine allocation means the minimisation of the total number of lost working days during the whole period of epidemic outbreak $[0,t_f]$, which can be described by the functional $Q=\int_0^{t_f}I(t){\rm d}t$ where $I(t)$ stands for the number of infectives at time $t$.
We explain the behaviour of the optimal allocation, which depends on the model parameters and the amount of vaccine available $V$.