A Diffusive Sveir Epidemic Model with Time Delay and General Incidence

In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a Nonstandard Finite Difference (NSFD) scheme, we then give the discretization of the continuous model. Applying Lyapunov functions, global stability of t...

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Detalles Bibliográficos
Autores principales: Zhou, Jinling, Ma, Xinsheng, Yang, Yu, Zhang, Tonghua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Singapore 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8167310/
https://www.ncbi.nlm.nih.gov/pubmed/34092838
http://dx.doi.org/10.1007/s10473-021-0421-9
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author Zhou, Jinling
Ma, Xinsheng
Yang, Yu
Zhang, Tonghua
author_facet Zhou, Jinling
Ma, Xinsheng
Yang, Yu
Zhang, Tonghua
author_sort Zhou, Jinling
collection PubMed
description In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a Nonstandard Finite Difference (NSFD) scheme, we then give the discretization of the continuous model. Applying Lyapunov functions, global stability of the equilibria are established. Numerical simulations are presented to validate the obtained results. The prolonged time delay can lead to the elimination of the infectiousness. ELECTRONIC SUPPLEMENTARY MATERIAL: Supplementary material is available in the online version of this article at 10.1007/s10473-021-0421-9.
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spelling pubmed-81673102021-06-01 A Diffusive Sveir Epidemic Model with Time Delay and General Incidence Zhou, Jinling Ma, Xinsheng Yang, Yu Zhang, Tonghua Acta Math Sci Article In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a Nonstandard Finite Difference (NSFD) scheme, we then give the discretization of the continuous model. Applying Lyapunov functions, global stability of the equilibria are established. Numerical simulations are presented to validate the obtained results. The prolonged time delay can lead to the elimination of the infectiousness. ELECTRONIC SUPPLEMENTARY MATERIAL: Supplementary material is available in the online version of this article at 10.1007/s10473-021-0421-9. Springer Singapore 2021-06-01 2021 /pmc/articles/PMC8167310/ /pubmed/34092838 http://dx.doi.org/10.1007/s10473-021-0421-9 Text en © Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Zhou, Jinling
Ma, Xinsheng
Yang, Yu
Zhang, Tonghua
A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title_full A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title_fullStr A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title_full_unstemmed A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title_short A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
title_sort diffusive sveir epidemic model with time delay and general incidence
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8167310/
https://www.ncbi.nlm.nih.gov/pubmed/34092838
http://dx.doi.org/10.1007/s10473-021-0421-9
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