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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2021

08.02.2021 | Original Research

An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model

verfasst von: Xingyu Wang, Zhijun Liu, Lianwen Wang, Caihong Guo, Huili Xiang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20–43, 2017) to a nonlinear SEIVS epidemic model with temporary immunity and achieves its threshold dynamics. Specifically, global-stability problems for the SEIVS model of Cai and Li (AMM 33:2919–2926, 2009) are effectively solved. The corresponding optimal control system with vaccination, awareness campaigns and treatment is further established and four different control strategies are compared by numerical simulations to contain hepatitis B. It is concluded that joint implementation of these measures can minimize the numbers of exposed and infectious individuals in the shortest time, so it is the most efficient strategy to curb the hepatitis B epidemic. Moreover, vaccination for newborns plays the core role and maintains the high level of population immunity.
Vorheriger Artikel Self-dual and LCD double circulant and double negacirculant codes over
Nächster Artikel Correction to: A new full-Newton step interior-point method for P*(κ)-LCP based on a positive-asymptotic kernel function

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Metadaten
Titel
An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model
verfasst von
Xingyu Wang
Zhijun Liu
Lianwen Wang
Caihong Guo
Huili Xiang
Publikationsdatum
08.02.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01487-5

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