Mathematics of Epidemics on Networks : From Exact to Approximate Models

Springer International Publishing AG

Explore the fascinating intersection of graph theory, stochastic processes, and dynamical systems with "Mathematics of Epidemics on Networks." This comprehensive textbook bridges the gap between mathematical models and their real-world applications, focusing on epidemic spread on networks. Developed by leading experts István Z. Kiss, Joel C. Miller, and Péter L. Simon, it offers a methodical approach to understanding epidemic modeling. Key Features: * Summarizes the state-of-the-art in modeling epidemics on networks with readily usable models. * Presents various mathematical approaches for formulating exact and solvable models. * Identifies concrete links between approximate models and their rigorous mathematical representation. * Provides a model hierarchy, highlighting the connection between model assumptions and complexity. * Includes numerous diagrams, examples, and instructive exercises. * Offers online access to simulation algorithms and usable code. This first edition hardcover book is an essential resource for advanced undergraduate and graduate students, researchers, and academics in mathematics and related fields. It is designed to be accessible to students with or without a strong mathematical background, making it suitable for advanced courses. Product Summary: Mathematics of Epidemics on Networks, Hardcover, First Edition, English, 413 pages, ISBN 9783319508047. Authored by István Z. Kiss, Joel C. Miller, Péter L. Simon. Published by Springer Cham.