Global dynamics of a novel multi-group model for computer worms.
Saved in:
| Title: | Global dynamics of a novel multi-group model for computer worms. |
|---|---|
| Authors: | Gong Yong-Wang1,2 gong_yw@126.com, Song Yu-Rong1, Jiang Guo-Ping1 |
| Source: | Chinese Physics B. 2013, Vol. 22 Issue 4, p1-7. 7p. |
| Subjects: | Computer worms, Computer network security, Local area networks, Lyapunov functions, Microsoft operating systems, Security systems |
| Abstract: | In this paper, we study worm dynamics in computer networks composed of many autonomous systems. A novel multigroup SIQR (susceptible-infected-quarantined-removed) model is proposed for computer worms by explicitly considering anti-virus measures and the network infrastructure. Then, the basic reproduction number of worm Rq is derived and the global dynamics of the model are established. It is shown that if Rq is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if Rq is greater than 1, one unique endemic equilibrium exists and it is globally asymptotically stable, thus the worm persists in the network. Finally, numerical simulations are given to illustrate the theoretical results. [ABSTRACT FROM AUTHOR] |
| Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 90156186 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Global dynamics of a novel multi-group model for computer worms. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gong+Yong-Wang%22">Gong Yong-Wang</searchLink><relatesTo>1,2</relatesTo><i> gong_yw@126.com</i><br /><searchLink fieldCode="AR" term="%22Song+Yu-Rong%22">Song Yu-Rong</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Jiang+Guo-Ping%22">Jiang Guo-Ping</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+B%22">Chinese Physics B</searchLink>. 2013, Vol. 22 Issue 4, p1-7. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Computer+worms%22">Computer worms</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+network+security%22">Computer network security</searchLink><br /><searchLink fieldCode="DE" term="%22Local+area+networks%22">Local area networks</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Microsoft+operating+systems%22">Microsoft operating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Security+systems%22">Security systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we study worm dynamics in computer networks composed of many autonomous systems. A novel multigroup SIQR (susceptible-infected-quarantined-removed) model is proposed for computer worms by explicitly considering anti-virus measures and the network infrastructure. Then, the basic reproduction number of worm Rq is derived and the global dynamics of the model are established. It is shown that if Rq is less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the worm dies out eventually, whereas, if Rq is greater than 1, one unique endemic equilibrium exists and it is globally asymptotically stable, thus the worm persists in the network. Finally, numerical simulations are given to illustrate the theoretical results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=90156186 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1674-1056/22/4/040204 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 1 Subjects: – SubjectFull: Computer worms Type: general – SubjectFull: Computer network security Type: general – SubjectFull: Local area networks Type: general – SubjectFull: Lyapunov functions Type: general – SubjectFull: Microsoft operating systems Type: general – SubjectFull: Security systems Type: general Titles: – TitleFull: Global dynamics of a novel multi-group model for computer worms. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gong Yong-Wang – PersonEntity: Name: NameFull: Song Yu-Rong – PersonEntity: Name: NameFull: Jiang Guo-Ping IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: 2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 16741056 Numbering: – Type: volume Value: 22 – Type: issue Value: 4 Titles: – TitleFull: Chinese Physics B Type: main |
| ResultId | 1 |
