Epidemics and Rumours in Complex Networks

A concise introduction for applied mathematicians and computer scientists to modern approaches to epidemic modelling on networks.

Autorentext
Moez Draief is Assistant Professor in the Department of Electrical and Electronic Engineering at Imperial College, London.

Zusammenfassung
This concise introduction to basic models, analytical tools and mathematical and algorithmic results is an ideal accompaniment for graduate courses. It is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Inhalt
Introduction; Part I. Shapeless Networks: 1. Galton-Watson branching processes; 2. Reed-Frost epidemics and Erd s-Rényi random graphs; 3. Connectivity and Poisson approximation; 4. Diameter of Erd s-Rényi graphs; 5. From microscopic to macroscopic dynamics; Part II. Structured Networks: 6. The small-world phenomenon; 7. Power laws via preferential attachment; 8. Epidemics on general graphs; 9. Viral marketing and optimised epidemics; References; Index.

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