| Abstract: |
| The SIR model is a nonlinear differential system that describes the spread of a disease in a population. In this talk, I will present an optimization problem where the goal is to maximize the final state of a SIR model by controling a vaccination term : in other terms, we study how to optimize the allocation of vaccines during an epidemic in order to minimize the casualties.
Our model is an heterogeneous nonlinear integral system with an age structure and with a control (the vaccination). Using adequate comparison priciples, we manage to identify in some cases an optimal vaccination strategy. |
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