Mathematics of Epidemics on Networks: From Exact to Approximate Models (Interdisciplinary Applied Mathematics, 46)

This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks.The book’s content lies at the interface of epidemiology, graph theory, stochastic processes and dynamical systems.This second edition has been substantially expanded from 11 to 15 chapters, adding comprehensive coverage of stochastic models, statistical inference, simple and complex contagions, and higher-order network structures.New material reflects recent theoretical advances, while maintaining the unified mathematical framework that made the first edition so valuable.The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics.This is done by:Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable mode