ENGLISH

Infectious Disease Modeling: A Hybrid System Approach

By Xinzhi Liu , Peter Stechlinski (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-53206-6, 978-3-319-53208-0
DOI
10.1007/978-3-319-53208-0
Language
english
Format
PDF
Filesize
5 MB (5276777 bytes)
Series
Nonlinear Systems and Complexity 19
Edition
1
Pages
XVI, 271\279
Time added
2017-04-19 23:42:50
Mathematical Modeling and Industrial Mathematics;I

Description

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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