During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have
emerged as powerful tools to produce valuable predictions of the evolution of the pandemic …

We present and discuss a variety of mathematical models that have been proposed to
capture the dynamic behavior of epidemic processes. We first present traditional group …

Explores the emerging subject of epidemic dynamics on complex networks, including
theories, methods, and real-world applications Throughout history epidemic diseases have …

The epidemic spread of infectious diseases is ubiquitous and often has a considerable
impact on public health and economic wealth. The large variability in the spatio-temporal …

The spread of viruses in biological networks, computer networks, and human contact
networks can have devastating effects; developing and analyzing mathematical models of …

Motivation The control of the diffusion of diseases is a critical subject of a broad research
area, which involves both clinical and political aspects. It makes wide use of computational …

Mathematical and computational approaches are important tools for understanding
epidemic spread patterns and evaluating policies of disease control. In recent years …

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 …

A worldwide multi-scale interplay among a plethora of factors, ranging from micro-pathogens
and individual or population interactions to macro-scale environmental, socio-economic and …

This article reviews and presents various solved and open problems in the development,
analysis, and control of epidemic models. The proper modeling and analysis of spreading …