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 …

We investigate adaptive strategies to robustly and optimally control the COVID-19 pandemic
via social distancing measures based on the example of Germany. Our goal is to minimize …

Over the past two decades, epidemic spreading on complex network has been a vibrant and
highly successful research avenue. The dynamics of epidemic spreading on signed …

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 …

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 …

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

We study allocation of COVID-19 vaccines to individuals based on the structural properties
of their underlying social contact network. Even optimistic estimates suggest that most …

This paper proposes and analyzes a generalized epidemic model over arbitrary directed
graphs with heterogeneous nodes. The proposed model, called the generalized-susceptible …

This survey analyses the role of data-driven methodologies for pandemic modelling and
control. We provide a roadmap from the access to epidemiological data sources to the …

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 …