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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2018

21.07.2017 | Original Research

Global analysis of an epidemic model with vaccination

verfasst von: Li-Ming Cai, Zhaoqing Li, Xinyu Song

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2018

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Abstract

In this paper, an epidemic dynamical model with vaccination is proposed. Vaccination of both newborn and susceptible is included in the present model. The impact of the vaccination strategy with the vaccine efficacy is explored. In particular, the model exhibits backward bifurcations under the vaccination level, and bistability occurrence can be observed. Mathematically, a bifurcation analysis is performed, and the conditions ensuring that the system exhibits backward bifurcation are provided. The global dynamics of the equilibrium in the model are also investigated. Numerical simulations are also conducted to confirm and extend the analytic results.
Vorheriger Artikel Finite-time stability of linear fractional time-delay q-difference dynamical system
Nächster Artikel Some classes of quasi-twisted codes over finite chain rings

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Metadaten
Titel
Global analysis of an epidemic model with vaccination
verfasst von
Li-Ming Cai
Zhaoqing Li
Xinyu Song
Publikationsdatum
21.07.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2018
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-017-1124-1

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