Epidemic models are increasingly applied in real-world networks to understand various kinds of diffusion phenomena (such as the spread of diseases, emotions, innovations, failures) or the transport of information (such as news, memes in social on-line networks and activity in functional human brain networks). We will mainly focus on Susceptible-Infected-Susceptible (SIS) epidemics on networks. We believe that the SIS Markovian epidemics on a given, fixed graph is one of the simplest "local rule - global emergence" models that allows a remarkable level of analysis. After a brief review of the SIS continuous-time Markovian process on a graph, we will show why SIS epidemics on networks are so interesting and we will overview our recent develop...
Epidemic processes can model anything that spreads. As such, they are a useful tool for studying not...
Many studies investigating the effect of human social connectivity structures (networks) and human b...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Epidemic models are increasingly applied in real-world networks to understand various kinds of diffu...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
Modelling the spread of contagious diseases among people has been a research topic for over a hundre...
Master's thesis in Mathematics and PhysicsThe spread of a virus or the outbreak of an epidemic are n...
The classical, continuous-time susceptible-infected-susceptible (SIS) Markov epidemic model on an ar...
Over the past century, mathematical epidemiology has grown to be one of the triumphs of applied math...
In recent years the research community has accumulated overwhelming evidence for the emergence of co...
We study an SIS (susceptible-infected-susceptible) model of disease spread over a contact network of...
Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially...
The spreading process of diseases has been an important research topic for many years. It has profou...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Abstract In this article, we develop two independent and new approaches to model epidemic spread in ...
Epidemic processes can model anything that spreads. As such, they are a useful tool for studying not...
Many studies investigating the effect of human social connectivity structures (networks) and human b...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Epidemic models are increasingly applied in real-world networks to understand various kinds of diffu...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
Modelling the spread of contagious diseases among people has been a research topic for over a hundre...
Master's thesis in Mathematics and PhysicsThe spread of a virus or the outbreak of an epidemic are n...
The classical, continuous-time susceptible-infected-susceptible (SIS) Markov epidemic model on an ar...
Over the past century, mathematical epidemiology has grown to be one of the triumphs of applied math...
In recent years the research community has accumulated overwhelming evidence for the emergence of co...
We study an SIS (susceptible-infected-susceptible) model of disease spread over a contact network of...
Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially...
The spreading process of diseases has been an important research topic for many years. It has profou...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Abstract In this article, we develop two independent and new approaches to model epidemic spread in ...
Epidemic processes can model anything that spreads. As such, they are a useful tool for studying not...
Many studies investigating the effect of human social connectivity structures (networks) and human b...
Understanding models which represent the invasion of network-based systems by infectious agents can ...