Global Stability of an Epidemic Model of Computer Virus
With the rapid popularization of the Internet, computers can enter or leave the Internet increasingly frequently. In fact, no antivirus software can detect and remove all sorts of computer viruses. This implies that viruses would persist on the Internet. To better understand the spread of computer v...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/456320 |
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| _version_ | 1832555916956794880 |
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| author | Xiaofan Yang Bei Liu Chenquan Gan |
| author_facet | Xiaofan Yang Bei Liu Chenquan Gan |
| author_sort | Xiaofan Yang |
| collection | DOAJ |
| description | With the rapid popularization of the Internet, computers can enter or leave the Internet increasingly frequently. In fact, no antivirus software can detect and remove all sorts of computer viruses. This implies that viruses would persist on the Internet. To better understand the spread of computer viruses in these situations, a new propagation model is established and analyzed. The unique equilibrium of the model is globally asymptotically stable, in accordance with the reality. A parameter analysis of the equilibrium is also conducted. |
| format | Article |
| id | doaj-art-4149d408ecc04b76b90142fc73ba9e91 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4149d408ecc04b76b90142fc73ba9e912025-02-03T05:46:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/456320456320Global Stability of an Epidemic Model of Computer VirusXiaofan Yang0Bei Liu1Chenquan Gan2School of Electronic and Information Engineering, Southwest University, Chongqing 400715, ChinaSchool of Electronic and Information Engineering, Southwest University, Chongqing 400715, ChinaSchool of Electronic and Information Engineering, Southwest University, Chongqing 400715, ChinaWith the rapid popularization of the Internet, computers can enter or leave the Internet increasingly frequently. In fact, no antivirus software can detect and remove all sorts of computer viruses. This implies that viruses would persist on the Internet. To better understand the spread of computer viruses in these situations, a new propagation model is established and analyzed. The unique equilibrium of the model is globally asymptotically stable, in accordance with the reality. A parameter analysis of the equilibrium is also conducted.http://dx.doi.org/10.1155/2014/456320 |
| spellingShingle | Xiaofan Yang Bei Liu Chenquan Gan Global Stability of an Epidemic Model of Computer Virus Abstract and Applied Analysis |
| title | Global Stability of an Epidemic Model of Computer Virus |
| title_full | Global Stability of an Epidemic Model of Computer Virus |
| title_fullStr | Global Stability of an Epidemic Model of Computer Virus |
| title_full_unstemmed | Global Stability of an Epidemic Model of Computer Virus |
| title_short | Global Stability of an Epidemic Model of Computer Virus |
| title_sort | global stability of an epidemic model of computer virus |
| url | http://dx.doi.org/10.1155/2014/456320 |
| work_keys_str_mv | AT xiaofanyang globalstabilityofanepidemicmodelofcomputervirus AT beiliu globalstabilityofanepidemicmodelofcomputervirus AT chenquangan globalstabilityofanepidemicmodelofcomputervirus |