Dynamics analysis of a delayed virus model with two different transmission methods and treatments

In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable i...

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Autores principales: Zhang, Tongqian, Wang, Junling, Li, Yuqing, Jiang, Zhichao, Han, Xiaofeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7100214/
https://www.ncbi.nlm.nih.gov/pubmed/32226454
http://dx.doi.org/10.1186/s13662-019-2438-0
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author Zhang, Tongqian
Wang, Junling
Li, Yuqing
Jiang, Zhichao
Han, Xiaofeng
author_facet Zhang, Tongqian
Wang, Junling
Li, Yuqing
Jiang, Zhichao
Han, Xiaofeng
author_sort Zhang, Tongqian
collection PubMed
description In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
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spelling pubmed-71002142020-03-27 Dynamics analysis of a delayed virus model with two different transmission methods and treatments Zhang, Tongqian Wang, Junling Li, Yuqing Jiang, Zhichao Han, Xiaofeng Adv Differ Equ Research In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings. Springer International Publishing 2020-01-06 2020 /pmc/articles/PMC7100214/ /pubmed/32226454 http://dx.doi.org/10.1186/s13662-019-2438-0 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Zhang, Tongqian
Wang, Junling
Li, Yuqing
Jiang, Zhichao
Han, Xiaofeng
Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title_full Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title_fullStr Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title_full_unstemmed Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title_short Dynamics analysis of a delayed virus model with two different transmission methods and treatments
title_sort dynamics analysis of a delayed virus model with two different transmission methods and treatments
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7100214/
https://www.ncbi.nlm.nih.gov/pubmed/32226454
http://dx.doi.org/10.1186/s13662-019-2438-0
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AT liyuqing dynamicsanalysisofadelayedvirusmodelwithtwodifferenttransmissionmethodsandtreatments
AT jiangzhichao dynamicsanalysisofadelayedvirusmodelwithtwodifferenttransmissionmethodsandtreatments
AT hanxiaofeng dynamicsanalysisofadelayedvirusmodelwithtwodifferenttransmissionmethodsandtreatments

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