书目名称 | Mathematics of Epidemics on Networks |
副标题 | From Exact to Approx |
编辑 | István Z. Kiss,Joel C. Miller,Péter L. Simon |
视频video | |
概述 | Details the current state-of-the-art in modeling epidemics on networks.Offers direct comparison of the main network epidemic models and works out their hierarchy.Identifies opportunities for further r |
丛书名称 | Interdisciplinary Applied Mathematics |
图书封面 |  |
描述 | 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 interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by:.Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book;.Presenting different mathematical approaches to formulate exact and solvable models;.Identifying the concrete links between approximate models and their rigorous mathematical representation;.Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity;.Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks;.Providing software that can |
出版日期 | Textbook 2017 |
关键词 | Dynamic Processes; Mathematical Modeling; Propagation Models; Epidemics; Stochastic processes; Mean-field |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-50806-1 |
isbn_softcover | 978-3-319-84494-7 |
isbn_ebook | 978-3-319-50806-1Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
issn_series | 0939-6047 |
copyright | Springer International Publishing AG 2017 |