A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity
Abstract In this paper, we build a mathematical model to study the impact of external removable devices on a network with weakly- and strongly-protected computers. The model describes the dynamics between weak, strong, infected computers and susceptible, infected removable media. Analytical investig...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02710-0 |
| _version_ | 1831704104167014400 |
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| author | Salma M. Al-Tuwairqi Walaa Bahashwan |
| author_facet | Salma M. Al-Tuwairqi Walaa Bahashwan |
| author_sort | Salma M. Al-Tuwairqi |
| collection | DOAJ |
| description | Abstract In this paper, we build a mathematical model to study the impact of external removable devices on a network with weakly- and strongly-protected computers. The model describes the dynamics between weak, strong, infected computers and susceptible, infected removable media. Analytical investigations of the model produce two equilibrium points: virus-free and endemic. Moreover, we investigate the local and global stability of both equilibria. The existence and stability conditions of the equilibrium points depend primarily on the basic reproduction number ( R 0 $R_{0}$ ) of the model. Furthermore, we perform numerical simulations to substantiate the analytical results. Also, a sensitivity analysis is carried out to examine the critical parameters that lead to strategies to control the dissipation of viruses. |
| first_indexed | 2024-12-20T15:53:11Z |
| format | Article |
| id | doaj.art-0e5ddabd9a91499fa1c4867983e0ee04 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T15:53:11Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-0e5ddabd9a91499fa1c4867983e0ee042022-12-21T19:34:36ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020112010.1186/s13662-020-02710-0A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunitySalma M. Al-Tuwairqi0Walaa Bahashwan1Mathematics Department, King Abdulaziz UniversityMathematics Department, King Abdulaziz UniversityAbstract In this paper, we build a mathematical model to study the impact of external removable devices on a network with weakly- and strongly-protected computers. The model describes the dynamics between weak, strong, infected computers and susceptible, infected removable media. Analytical investigations of the model produce two equilibrium points: virus-free and endemic. Moreover, we investigate the local and global stability of both equilibria. The existence and stability conditions of the equilibrium points depend primarily on the basic reproduction number ( R 0 $R_{0}$ ) of the model. Furthermore, we perform numerical simulations to substantiate the analytical results. Also, a sensitivity analysis is carried out to examine the critical parameters that lead to strategies to control the dissipation of viruses.http://link.springer.com/article/10.1186/s13662-020-02710-0Computer virusPropagation modelEquilibriumLocal stabilityGlobal stability |
| spellingShingle | Salma M. Al-Tuwairqi Walaa Bahashwan A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity Advances in Difference Equations Computer virus Propagation model Equilibrium Local stability Global stability |
| title | A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| title_full | A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| title_fullStr | A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| title_full_unstemmed | A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| title_short | A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| title_sort | dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity |
| topic | Computer virus Propagation model Equilibrium Local stability Global stability |
| url | http://link.springer.com/article/10.1186/s13662-020-02710-0 |
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