A minimal model for adaptive SIS epidemics

The interplay between disease spreading and personal risk perception is of key importance for modelling the spread of infectious diseases. We propose a planar system of ordinary differential equations (ODEs) to describe the co-evolution of a spreading phenomenon and the average link density in the personal contact network. Contrary to...

SIS Epidemics on Network with Non-Markovian Curing Process

Susceptible-Infected-Susceptible (SIS) model is commonly used to describe the spreading of virus on networks. However, a real-life epidemic process is not necessarily Markovian. The spreading of diseases, behaviors and information in real systems are sometimes dependent on the characteristics and current status of individuals. Thus it is far...

The Cut-size Property of Networks and Epidemics Processes

This master thesis focuses on the particular problem about the cut-size property of different networks. The scope of networks is from trivial network models (e.g., random graph) to real networks (e.g., Power grid network and Facebook network). The Susceptible-Infected-Susceptible (SIS) epidemic model can describe the spreading processes of...

Structure and dynamics of complex networks: Network epidemics and a geometric robustness measure

As new technologies continue to find their way into everyday life, the world becomes more and more connected. Airplanes and other means of transportation provide global connections in the physical world, while the omnipresence of the Internet means that information is shared around the globe, easier than ever before. But not only these man-made...

Applying the epidemic spreading model on the brain network to explain effective connectivity

Network science studies a complex system as a network to capture the connectivity patterns and topological features. Different network topologies have been observed to shape dynamic spread- ing processes on the network in various ways, while the exact relationship is complicated and not yet fully understood. Epidemic models are often applied to...