Dynamic model of computer viruses under the effect of removable media and external computers

doi:10.19682/j.cnki.1005-8885.2018.1020

中国邮电高校学报(英文版) ›› 2018, Vol. 25 ›› Issue (4): 86-93.doi: 10.19682/j.cnki.1005-8885.2018.1020

Dynamic model of computer viruses under the effect of removable media and external computers

Cai Xiumei, Liu Chao, Huang Xianying, Liu Xiaoyang, Cao Qiong, Yang Hongyu

School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China

收稿日期:2018-06-12 修回日期:2018-08-26 出版日期:2018-08-30 发布日期:2018-11-02
通讯作者: Liu Chao,E-mail:xiuwenzheng2000@163.com E-mail:xiuwenzheng2000@163.com
作者简介:Liu Chao,E-mail:xiuwenzheng2000@163.com
基金资助:
This work was supported by the National Natural Science Foundation of China (61503052, 61503050, 61603065, 61573075), Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJQN201801120, KJQN201801104, KJ17092060), China Postdoctoral Science
Foundation (2017M612911) and Chongqing Science and Technology Commission Technology Innovation and Application Demonstration Project (cstc2018jscx-msybX0049).

Dynamic model of computer viruses under the effect of removable media and external computers

Cai Xiumei, Liu Chao, Huang Xianying, Liu Xiaoyang, Cao Qiong, Yang Hongyu

School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China

Received:2018-06-12 Revised:2018-08-26 Online:2018-08-30 Published:2018-11-02
Contact: Liu Chao,E-mail:xiuwenzheng2000@163.com E-mail:xiuwenzheng2000@163.com
About author:Liu Chao,E-mail:xiuwenzheng2000@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61503052, 61503050, 61603065, 61573075), Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJQN201801120, KJQN201801104, KJ17092060), China Postdoctoral Science
Foundation (2017M612911) and Chongqing Science and Technology Commission Technology Innovation and Application Demonstration Project (cstc2018jscx-msybX0049).

摘要/Abstract

摘要： This paper investigates the propagation of computer viruses and establishes a novel propagation model. In contrast to the existing models, this model can directly indicate the impact of removable media and external computers on the propagation of computer virus. The stability results of equilibrium point are derived by Hurwitz criterion and Bendixson Dulac criterion. The effectiveness of the proposed results is shown by numerical simulation. In order to show the superiority of the proposed model, some comparisons with the existing models are presented. The acceptable threshold and the reasonable strategies for suppressing the propagation of computer virus are also suggested, respectively.

关键词: computer virus, external computer, removable medium, viral equilibrium point, global stability

Abstract: This paper investigates the propagation of computer viruses and establishes a novel propagation model. In contrast to the existing models, this model can directly indicate the impact of removable media and external computers on the propagation of computer virus. The stability results of equilibrium point are derived by Hurwitz criterion and Bendixson Dulac criterion. The effectiveness of the proposed results is shown by numerical simulation. In order to show the superiority of the proposed model, some comparisons with the existing models are presented. The acceptable threshold and the reasonable strategies for suppressing the propagation of computer virus are also suggested, respectively.

Key words: computer virus, external computer, removable medium, viral equilibrium point, global stability

中图分类号:

TP309

Cai Xiumei, Liu Chao, Huang Xianying, Liu Xiaoyang, Cao Qiong, Yang Hongyu. Dynamic model of computer viruses under the effect of removable media and external computers[J]. JOURNAL OF CHINA UNIVERSITIES OF POSTS AND TELECOM, 2018, 25(4): 86-93.

参考文献

References
1. Parsaei M R, Javidan R, Shayegh K N, et al. On the global stability of an epidemic model of computer viruses. Theory in Biosciences, 2017(6): 1 -10
2. Yang M, Chen G, Fu X. A modified SIS model with an infective medium on complex networks and its global stability. Physica A Statistical Mechanics and Its Applications, 2011, 390(12): 2408 -2413
3. Juang J, Liang Y H. Analysis of a general SIS model with infective vectors on the complex networks. Physica A Statistical Mechanics and Its Applications, 2015, 437(2): 382 -395
4. Valdez J S, Guevara P, Audelo J, et al. Numerical approaching of SIR epidemic model for propagation of computer worms. IEEE Latin America Transactions, 2016, 13(10): 3452 -3460
5. Xia C, Wang L, Sun S, et al. An SIR model with infection delay and propagation vector in complex networks. Nonlinear Dynamics, 2012, 69(3): 927 -934
6. Peng M, Mou H. A novel computer virus model and its stability. Journal of Networks, 2014, 9(2): 367 -374
7. Batista F K, Angel M R, Quintero B S, et al. A SEIR model for computer virus spreading based on cellular automata. doi: 10.1007/978-3-319-67180-2_62, 2017
8. Guillen J D H, Rey A M D, Encinas L H. Study of the stability of a SEIRS model for computer worm propagation. Physica A Statistical Mechanics and Its Applications, 2017, 479: 411 -421
9. Mishra B K, Pandey S K. Dynamic model of worms with vertical transmission in computer network. Applied Mathematics and Computation, 2011, 217(21): 8438 -8446
10. Xiao X, Fu P, Dou C, et al. Design and analysis of SEIQR, worm propagation model in mobile internet. Communications in Nonlinear Science and Numerical Simulation, 2017, 43: 341 -350
11. Mishra B K, Pandey S K. Dynamic model of worm propagation in computer network. Applied Mathematical Modelling, 2014, 38(7 -8): 2173 -2179
12. Chen L J, Hattaf K, Sun J T. Optimal control of a delayed SLBS computer virus model. Physica A: Statistical Mechanics and Its Applications, 2015, 427: 244 -250
13. Yang L X, Yang X. A new epidemic model of computer viruses. Communications in Nonlinear Science and Numerical Simulation, 2014, 19(6): 1935 -1944
14. Yang L X, Yang X, Liu J, et al. Epidemics of computer viruses: a complex-network approach. Applied Mathematics and Computation, 2013, 219(16): 8705 -8717
15. Yang L X, Yang X, Zhu Q, et al. A computer virus model with graded cure rates. Nonlinear Analysis Real World Applications, 2013, 14(1): 414 -422
16. Zhang C, Huang H. Optimal control strategy for a novel computer virus propagation model on scale-free networks. Physica A Statistical Mechanics and Its Applications, 2016, 451: 251 -265
17. Yang L X, Yang X. The effect of infected external computers on the spread of viruses: a compartment modeling study. Physica A Statistical Mechanics and Its Applications, 2013, 392(24): 6523 -6535
18. Zhu Q, Yang X, Yang L X, et al. A mixing propagation model of computer viruses and counterstrategies. Nonlinear Dynamics, 2013, 73(3): 1433 -1441
19. Upadhyay R K, Kumari S, Misra A K. Modeling the virus dynamics in computer network with SVEIR model and nonlinear incident rate. Journal of Applied Mathematics and Computing,
2017, 54(1 -2): 485 -509
20. Amador J, Artalejo J R. Modeling computer virus with the BSDE approach. Computer Networks, 2013, 57(1): 302 -316
21. Jin C, Wang X Y. Analysis and control stratagems of flash disk virus dynamic propagation model. Security and Communication Networks, 2012, 5(2): 226 -235
22. Yang L X, Yang X. The effect of infected external computers on the spread of viruses: a compartment modeling study. Physica A Statistical Mechanics and Its Applications, 2013, 392(24): 6523 -6535
23. Gan C, Yang X, Zhu Q, et al. The spread of computer virus under the effect of external computers. Nonlinear Dynamics, 2013, 73(3): 1615 -1620
24. Gan C, Yang X, Zhu Q. Propagation of computer virus under the influences of infected external computers and removable storage media. Nonlinear Dynamics, 2014, 78(2): 1349 -1356
25. Gan C, Yang X. Theoretical and experimental analysis of the impacts of removable storage media and antivirus software on viral spread. Communications in Nonlinear Science and Numerical Simulation, 2014, 22(1 -3): 167 -174
26. Thieme H R. Asymptotically autonomous differential equations in the plane. Rocky Mountain Journal of Mathematics, 1994, 24(1): 351 -380
27. Robinson R C. An introduction to dynamical systems: continuous and discrete. Prentice Hall, New Jersey, 2012

[1]	林杰刘川意方滨兴. VMScan: an out-of-VM malware scanner [J]. 中国邮电高校学报(英文版), 2020, 27(4): 59-68.
[2]	Tang Yongli, Wang Mingming, Ye Qing, Qin Panke, Zhao Zongqu. Lattice-based hierarchical identity-based broadcast encryption scheme in the standard model[J]. 中国邮电高校学报(英文版), 2019, 26(4): 70-79.
[3]	Min Xiangshen, Fan Jiulun, Zhang Xuefeng, Ren Fang. Color image encryption scheme based on chaotic systems[J]. 中国邮电高校学报(英文版), 2018, 25(2): 39-48.
[4]	Ding Haiyang, Li Zichen, Bi Wei. (k, n) halftone visual cryptography based on Shamir‘s secret sharing[J]. 中国邮电高校学报(英文版), 2018, 25(2): 60-76.
[5]	Chen Shangdi, Wen Jiejing. New key pre-distribution scheme using symplectic geometry over finite fields for wireless sensor networks[J]. 中国邮电高校学报(英文版), 2017, 24(5): 16-22.
[6]	谢佳胡予濮高军涛高雯李雪莲. Attribute-based signatures on lattices[J]. 中国邮电高校学报(英文版), 2016, 23(4): 83-90.
[7]	冯超辛阳. Fast key generation for Gentry-style homomorphic encryption[J]. Acta Metallurgica Sinica(English letters), 2014, 21(6): 37-44.
[8]	傅镜艺黄勤龙马兆丰杨义先. Secure personal data sharing in cloud computing using attribute-based broadcast encryption[J]. Acta Metallurgica Sinica(English letters), 2014, 21(6): 45-51.
[9]	张德栋马兆丰钮心忻 LI Guo-you. Secure and efficient anonymous proxy signature scheme in the random oracle model [J]. Acta Metallurgica Sinica(English letters), 2013, 20(4): 87-92.
[10]	张德栋马兆丰钮心忻 Peng Yong. Anonymous authentication scheme of trusted mobile terminal undermobile Internet[J]. Acta Metallurgica Sinica(English letters), 2013, 20(1): 58-65.
[11]	叶青郑世慧郭洪福杨义先. Generalization of perfect concurrent signatures[J]. Acta Metallurgica Sinica(English letters), 2012, 19(6): 94-104.
[12]	汪定马春光. Cryptanalysis and security enhancement of a remote user authentication scheme using smart cards[J]. Acta Metallurgica Sinica(English letters), 2012, 19(5): 104-114.
[13]	陈毅成，邹雪城，刘政林，陈晓飞，韩煜. Dynamic inhomogeneous S-Boxes design for efficient AES masking mechanisms[J]. Acta Metallurgica Sinica(English letters), 2008, 15(2): 72-76.
[14]	CHEN Shuai, ZHONG Xian-xin. Chaotic block iterating method for pseudo-random sequence generator[J]. Acta Metallurgica Sinica(English letters), 2007, 14(1): 45-48.

Dynamic model of computer viruses under the effect of removable media and external computers

Dynamic model of computer viruses under the effect of removable media and external computers

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 14

编辑推荐

Metrics

本文评价