The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay

The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay

This paper deals with the dynamical behaviors for a computer viruses model with age structure, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about...

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Main Authors: Hui Cao, Si Wang, Dongxue Yan, Hongwu Tan, Hemiao Xu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/5538438
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spelling doaj-4032783c3e864828bc503d732f3643d42021-05-10T00:27:35ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/5538438The Dynamical Analysis of Computer Viruses Model with Age Structure and DelayHui Cao0Si Wang1Dongxue Yan2Hongwu Tan3Hemiao Xu4Department of MathematicsDepartment of MathematicsSchool of ScienceDepartment of MathematicsDepartment of MathematicsThis paper deals with the dynamical behaviors for a computer viruses model with age structure, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. These findings show that the age structure and delay can produce Hopf bifurcation for the computer viruses model. The numerical examples are executed to validate the theoretical results.http://dx.doi.org/10.1155/2021/5538438
collection DOAJ
language English
format Article
sources DOAJ
author Hui Cao
Si Wang
Dongxue Yan
Hongwu Tan
Hemiao Xu
spellingShingle Hui Cao
Si Wang
Dongxue Yan
Hongwu Tan
Hemiao Xu
The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
Discrete Dynamics in Nature and Society
author_facet Hui Cao
Si Wang
Dongxue Yan
Hongwu Tan
Hemiao Xu
author_sort Hui Cao
title The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
title_short The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
title_full The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
title_fullStr The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
title_full_unstemmed The Dynamical Analysis of Computer Viruses Model with Age Structure and Delay
title_sort dynamical analysis of computer viruses model with age structure and delay
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1607-887X
publishDate 2021-01-01
description This paper deals with the dynamical behaviors for a computer viruses model with age structure, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and instability of equilibria for the model are established. These findings show that the age structure and delay can produce Hopf bifurcation for the computer viruses model. The numerical examples are executed to validate the theoretical results.
url http://dx.doi.org/10.1155/2021/5538438
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