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Mathematics of Epidemics on Networks From Exact to Approximate Models

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...

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Bibliographic Details
Main Authors: Kiss, István Z., Miller, Joel C. (Author), Simon, Péter L. (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Interdisciplinary Applied Mathematics
Subjects:
Dynamical Systems And Ergodic Theory
Ergodic Theory
Applications Of Graph Theory And Complex Networks
Biomathematics
Mathematical And Computational Biology
Epidemiology
Physics
Probability Theory And Stochastic Processes
Probabilities
Dynamics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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