Infectious disease modeling a hybrid system approach / Xinzhi Liu, Peter Stechlinski.

Author/creator Liu, Xinzhi, 1956-
Other author Stechlinski, Peter.
Format Electronic
Publication InfoCham, Switzerland : Springer, [2017]
Descriptionxvi, 271 pages : illustrations ; 24 cm
Supplemental ContentFull text available from eBooks on EBSCOhost
Subjects

SeriesNonlinear systems and complexity, 2195-9994 ; volume 19
Nonlinear systems and complexity ; v. 19. 2195-9994
Abstract 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.
Bibliography noteIncludes bibliographical references (pages 265-271).
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2017930207
ISBN9783319532066 (alk. paper)
ISBN3319532065 (alk. paper)

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