COVID-19 has caused more than 880.000 victims all over the world (September 2020); despite a large effort of the scientific community and of the governments, it is still a great problem, inducing most of the Nations to adopt restriction to mo-bility, social relations and economic activities. Since the beginning of the pandemic, COVID-19 appeared a rather mysterious virus, for which neither a vaccination nor specific medications exist.
The paper deals with the modelling of the COVID-19 spread among people with different age. The model introduced is a simplified version of a full age based one where the division into age based groups of the population is performed only for distinguishing the initial contagion step. An identification procedure is performed on the basis of the data acquired for the Italian case showing that the model can describe and explain the actual differences between the different aged individuals with respect to the possibility to acquire the virus.
The paper presents a new mathematical model for the SARS-CoV-2 virus propagation, designed to include all the possible actions to prevent the spread and to help in the healing of infected people. After a discussion on the equilibrium and stability properties of the model, the effects of each different control actions on the evolution of the epidemic spread are analysed, through numerical evaluations for a more intuitive and immediate presentation, showing the consequences on the classes of the population.
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