This review paper is devoted to study the conceptual difficulties that mathematics meets
when attempting to describe the complexity of living matter focusing on the challenging …

This paper focuses on the multiscale modeling of the COVID-19 pandemic and presents
further developments of the model [7] with the aim of showing how relaxations of the …

Multilevel modeling and simulation is a general technique that has many applications in
such diverse fields as chemistry, biology, engineering, social sciences and economics …

The modeling of living systems composed of many interacting entities is treated in this paper
with the aim of describing their collective behaviors. The mathematical approach is …

This paper shows how a new theory of epidemics can be developed for viral pandemics in a
globally interconnected world. The study of the in-host dynamics and, in parallel, the spatial …

In the wake of the 2020 COVID‐19 epidemic, much work has been performed on the
development of mathematical models for the simulation of the epidemic and of disease …

This article presents, within a multiscale framework, a search for a unified approach towards
modelling the COVID-19 pandemic, from contagion to within-host dynamics. The modelling …

The importance of spatial networks in the spread of an epidemic is an essential aspect in
modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model …

In this paper we introduce a space-dependent multiscale model to describe the spatial
spread of an infectious disease under uncertain data with particular interest in simulating the …

In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …