书目名称 | Infectious Disease Modeling |
副标题 | A Hybrid System Appr |
编辑 | Xinzhi Liu,Peter Stechlinski |
视频video | |
概述 | Imparts a quantitative understanding of the roles seasonality and population behavior play in the spread of a disease;.Illustrates formulation and theoretical analysis of mathematical disease models a |
丛书名称 | Nonlinear Systems and Complexity |
图书封面 |  |
描述 | .This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.. |
出版日期 | Book 2017 |
关键词 | Basic reproduction number; Control strategies; Epidemic models; Hybrid system; Infectious diseases; Pulse |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-53208-0 |
isbn_softcover | 978-3-319-85090-0 |
isbn_ebook | 978-3-319-53208-0Series ISSN 2195-9994 Series E-ISSN 2196-0003 |
issn_series | 2195-9994 |
copyright | Springer International Publishing AG 2017 |