This book explores the emerging topics of epidemic dynamics on complex networks, including theories, methods, and real-world applications. Providing an introduction of general epidemic models, it continues with models evolving over complex networks and presents results concerning dynamics of Network-based models on a macroscopic scale. The fundamental knowledge needed to demonstrate how epidemic dynamical networks can be modelled, analyzed and controlled is presented along the state-of-the-art and recent progress in the investigation of these important topics and related issues arising from various epidemic systems.