An SLBRS Model with Vertical Transmission of Computer Virus over the Internet
By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold ℛ0. Specially, viru...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/925648 |
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| _version_ | 1832557053485252608 |
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| author | Maobin Yang Zhufan Zhang Qiang Li Gang Zhang |
| author_facet | Maobin Yang Zhufan Zhang Qiang Li Gang Zhang |
| author_sort | Maobin Yang |
| collection | DOAJ |
| description | By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold ℛ0. Specially, virus-free equilibrium is globally asymptotically stable if ℛ0≤1, whereas the viral equilibrium is globally asymptotically stable if ℛ0>1. Next, the sensitivity analysis of ℛ0 to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively. |
| format | Article |
| id | doaj-art-ca1dd2f336ff4877865c51c3d901c84a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ca1dd2f336ff4877865c51c3d901c84a2025-02-03T05:43:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/925648925648An SLBRS Model with Vertical Transmission of Computer Virus over the InternetMaobin Yang0Zhufan Zhang1Qiang Li2Gang Zhang3School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaBy incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold ℛ0. Specially, virus-free equilibrium is globally asymptotically stable if ℛ0≤1, whereas the viral equilibrium is globally asymptotically stable if ℛ0>1. Next, the sensitivity analysis of ℛ0 to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.http://dx.doi.org/10.1155/2012/925648 |
| spellingShingle | Maobin Yang Zhufan Zhang Qiang Li Gang Zhang An SLBRS Model with Vertical Transmission of Computer Virus over the Internet Discrete Dynamics in Nature and Society |
| title | An SLBRS Model with Vertical Transmission of Computer Virus over the Internet |
| title_full | An SLBRS Model with Vertical Transmission of Computer Virus over the Internet |
| title_fullStr | An SLBRS Model with Vertical Transmission of Computer Virus over the Internet |
| title_full_unstemmed | An SLBRS Model with Vertical Transmission of Computer Virus over the Internet |
| title_short | An SLBRS Model with Vertical Transmission of Computer Virus over the Internet |
| title_sort | slbrs model with vertical transmission of computer virus over the internet |
| url | http://dx.doi.org/10.1155/2012/925648 |
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