株式会社極東書店トップ ＞ 商品一覧 ＞ Mathematics of Epidemics on Networks: From Exact to Approximate Models. 1st ed. 2017
商品詳細
Mathematics of Epidemics on Networks: From Exact to Approximate Models. 1st ed. 2017
・ISBN 978-3-319-50804-7 hard EUR 89.99
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お気に入り
★★★
| 著者・編者 | Kiss, Istvan Z. / Miller, Joel C. / Simon, Peter L., |
|---|---|
| シリーズ | (Interdisciplinary Applied Mathematics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 413 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A05-597＞ |
解説
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 solve differential equation models or directly simulate epidemics on networks.