Infectious Disease Modeling: A Hybrid System Approach: 19 (Nonlinear Systems and Complexity) - Softcover

Liu, Xinzhi

 
9783319850900: Infectious Disease Modeling: A Hybrid System Approach: 19 (Nonlinear Systems and Complexity)

Inhaltsangabe

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.


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Über die Autorin bzw. den Autor

Xinzhi Liu is a Professor of Mathematics at the University of Waterloo. Peter Stechlinski is a Postdoctoral Fellow in the Process Systems Engineering Laboratory at the Massachusetts Institute of Technology

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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.


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Weitere beliebte Ausgaben desselben Titels

9783319532066: Infectious Disease Modeling: A Hybrid System Approach: 19 (Nonlinear Systems and Complexity)

Vorgestellte Ausgabe

ISBN 10:  3319532065 ISBN 13:  9783319532066
Verlag: Springer-Verlag GmbH, 2017
Hardcover