These lectures attempt to show how the broad variety of tools, delivered by mathematical sciences, can contribute to describe the dynamics of living, hence complex, systems.
The contents are developed within an interdisciplinary, multiscale framework, looking at the rich plurality of sciences.
The COVID-19 outbreak and the subsequent pandemic, has brought to almost all countries across the globe huge problems affecting health, safety, economics, and practically all expressions of collective behaviors in our societies.
The mathematical theory is applied to modeling various phenomena of the virus pandemics.

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