Mathematics of Epidemics on Networks From Exact to Approximate Models /

• Main Authors: Kiss, István Z. (Author), Miller, Joel C. (Author), Simon, Péter L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Interdisciplinary Applied Mathematics, 46
• Subjects: Mathematics.; Epidemiology.; Dynamics.; Ergodic theory.; Probabilities.; Biomathematics.; Mathematical and Computational Biology.; Dynamical Systems and Ergodic Theory.; Applications of Graph Theory and Complex Networks.; Probability Theory and Stochastic Processes.

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 content of the book is at the interfa...

Table of Contents:

• Preface
• Introduction to Networks and Diseases
• Exact Propagation Models: Top Down
• Exact Propagation Models: Bottom-Up
• Mean-Field Approximations for Heterogeneous Networks
• Percolation-Based Approaches for Disease Modelling
• Hierarchies of SIR Models
• Dynamic and Adaptive Networks
• Non-Markovian Epidemics
• PDE Limits for Large Networks
• Disease Spread in Networks with Large-scale structure
• Appendix: Stochastic Simulation
• Index.