Infectious disease modeling : a hybrid system approach /

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Bibliographic Details
Author / Creator:Liu, Xinzhi, 1956- author.
Imprint:Cham, Switzerland : Springer, [2017]
Description:1 online resource (xvi, 271 pages) : illustrations (some color)
Series:Nonlinear systems and complexity, 2195-9994 ; volume 19
Nonlinear systems and complexity ; v. 19.
Subject:Communicable diseases -- Mathematical models.
Communicable diseases -- Epidemiology.
Infectious & contagious diseases.
Cybernetics & systems theory.
Nonlinear science.
Epidemiology & medical statistics.
Mathematical modelling.
MEDICAL -- Infectious Diseases.
Communicable diseases -- Epidemiology.
Communicable diseases -- Mathematical models.
Electronic books.
Format: E-Resource Book
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Other authors / contributors:Stechlinski, Peter, author.
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed March 7, 2017).
Summary: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.
Other form:Print version: Liu, Xinzhi, 1956- Infectious disease modeling. Cham, Switzerland : Springer, [2017] 3319532065 9783319532066
Standard no.:10.1007/978-3-319-53208-0