Infectious Disease Modeling / Nonlinear Systems and Complexity Bd.19 (PDF)
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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.
- Autoren: Xinzhi Liu , Peter Stechlinski
- 2017, 1st ed. 2017, 271 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319532081
- ISBN-13: 9783319532080
- Erscheinungsdatum: 25.02.2017
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- Größe: 5.09 MB
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“This book focuses on infectious disease mathematical models, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. … This book is strongly recommended to graduate level students with a background in dynamic system or epidemic modeling and an interest in mathematical biology, epidemic models, and physical problems exhibiting a mixture of continuous and discrete dynamics.” (Hemang B. Panchal, Doody’s Book Reviews, April, 2017)“This book presents a new type of switched model for the spread of infectious diseases. … This book should be useful and attractive for students and researchers seeking updated progresses in the field of epidemic modeling … .” (Yilun Shang, zbMATH 1362.92002, 2017)
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