1.

Record Nr.

UNINA9910254174103321

Autore

Liu Xinzhi

Titolo

Infectious Disease Modeling : A Hybrid System Approach / / by Xinzhi Liu, Peter Stechlinski

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVI, 271 p. 72 illus., 67 illus. in color.)

Collana

Nonlinear Systems and Complexity, , 2195-9994 ; ; 19

Disciplina

003.3

Soggetti

Mathematical models

Infectious diseases

Computational complexity

Statistical physics

Epidemiology

Mathematical Modeling and Industrial Mathematics

Infectious Diseases

Complexity

Applications of Nonlinear Dynamics and Chaos Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Introduction -- Modelling the Spread of an Infectious Disease -- Hybrid Epidemic Models -- Control Strategies for Eradication -- Discussions and Conclusions -- References -- Appendix.

Sommario/riassunto

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.