Infectious Disease Modeling

A Hybrid System Approach

Nonfiction, Health & Well Being, Medical, Ailments & Diseases, Infectious Diseases, General, Science & Nature, Mathematics, Applied
Cover of the book Infectious Disease Modeling by Peter Stechlinski, Xinzhi Liu, Springer International Publishing
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Author: Peter Stechlinski, Xinzhi Liu ISBN: 9783319532080
Publisher: Springer International Publishing Publication: February 25, 2017
Imprint: Springer Language: English
Author: Peter Stechlinski, Xinzhi Liu
ISBN: 9783319532080
Publisher: Springer International Publishing
Publication: February 25, 2017
Imprint: Springer
Language: English

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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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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