In this tutorial paper we first present some foundational results regarding the theory of
positive systems. In particular, we present fundamental results regarding stability, positive …

This paper aims to provide a comprehensive critical overview on how entities and their
interactions in Complex Networked Systems (CNS) are modelled across disciplines as they …

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 …

Several results regarding the stability and the stabilization of linear impulsive positive
systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained …

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

In this monograph we consider the class of continuous-time positive switched systems. We
discuss several problems, including stability, performance analysis, stabilization via …

In this paper, we introduce a model for multiple competing viruses over networks, derived
using each state variable of the model as the infection percentage of a group or a …

We study the stability properties of a susceptible–infected–susceptible (SIS) diffusion model,
so-called the n-intertwined Markov model, over arbitrary directed network topologies. As in …

In this paper, we analyze the dynamics of spreading processes taking place over time-
varying networks. A common approach to model time-varying networks is via Markovian …

We propose a mathematical model to study coupled epidemic and opinion dynamics in a
network of communities. Our model captures SIS epidemic dynamics, whose evolution is …