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.

  1. Nicola Bellomo - A Quest Towards a Mathematical Theory of Living Systems slides & video.
  2. Diletta Burini - Mathematical Tools of the Kinetic Theory of Active Particles slides & video.
  3. Nicola Bellomo, Diletta Burini and Nisrine Outada - Towards a Mathematical Theory of Virus Pandemics - Models with Mutations, Variants and Vaccination Programs slides & video.
  4. Damián Knopoff - Heterogeneity and Networks slides & video.
  5. Pietro Terna - Agent Methods to Modeling Virus Pandemics - A quick reference to complexity slides & video.

Closure, Description of the material support to the Lectures, Acknowledgments, Pietro Terna.

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