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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5538438 |
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| _version_ | 1832562939552333824 |
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| author | Hui Cao Si Wang Dongxue Yan Hongwu Tan Hemiao Xu |
| author_facet | Hui Cao Si Wang Dongxue Yan Hongwu Tan Hemiao Xu |
| author_sort | Hui Cao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4032783c3e864828bc503d732f3643d4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4032783c3e864828bc503d732f3643d42025-02-03T01:21:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55384385538438The Dynamical Analysis of Computer Viruses Model with Age Structure and DelayHui Cao0Si Wang1Dongxue Yan2Hongwu Tan3Hemiao Xu4Department of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, ChinaDepartment of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, ChinaSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaDepartment of Mathematics, Shaanxi University of Science and Technology, Xi’an 710021, ChinaDepartment of Mathematics, Changzhi University, Changzhi 046011, ChinaThis 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/5538438 |
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