Applications of network theory to epidemic modelling

Abstract

In this research project we apply network theory to study how epidemics spread on networks. Network models attempt to capture the dynamics in the spreading of diseases. Study of epidemics on networks gives us understanding on how epidemics spread over networks and suggests strategies to control epidemics. We review mathematical theory of epidemics and network theory concepts directly related to epidemics spread. We look at network models which are constructed based on random processes as a tool to study epidemics on networks. We study the influence of network structure in spread of epidemics. Our study applies a nonlinear dynamical system model for viral propagation and the Pagerank epidemic model on real and random networks using computer simulation. Finally, we carry out a detailed study of possible immunisation strategies as a control policy in the study of epidemics on networks.