A stochastic dynamic model of computer viruses

Discrete Dynamics in Nature and Society

Volumn 2012, Issue , 2012, Pages

  Zhang, Chunming ^a   Zhao, Yun ^a   Wu, Yingjiang ^a   Deng, Shuwen ^a  

^a GUANGDONG MEDICAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866079933     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2012/264874     Document Type: Article

References (15)

1. Kephart J. O., White S. R., Directed-graph epidemiological models of computer viruses. Proceedings of the IEEE Computer Society Symposium on Research in Security and Privacy May 1991 343 359 2-s2.0-0026156688
2. Kephart J. O., White S. R., Chess D. M., Computers and epidemiology. IEEE Spectrum 1993 30 5 20 26
3. Billings L., Spears W. M., Schwartz I. B., A unified prediction of computer virus spread in connected networks. Physics Letters A 2002 297 3-4 261 266 10.1016/S0375-9601(02)00152-4 1912464 ZBL0995.68007
4. Han X., Tan Q., Dynamical behavior of computer virus on Internet. Applied Mathematics and Computation 2010 217 6 2520 2526 10.1016/j.amc.2010.07.064 2733695 ZBL1209.68139
5. Mishra B. K., Jha N., Fixed period of temporary immunity after run of anti-malicious software on computer nodes. Applied Mathematics and Computation 2007 190 2 1207 1212 2-s2.0-34250656571 10.1016/j.amc.2007.02.004 (Pubitemid 46935863)
6. Mishra B. K., Saini D., Mathematical models on computer viruses. Applied Mathematics and Computation 2007 187 2 929 936 10.1016/j.amc.2006.09.062 2323098 ZBL1120.68041 (Pubitemid 46627881)
7. 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 10.1016/j.amc.2011.03.041 2802253 ZBL1219.68080
8. Piqueira J. R. C., Araujo V. O., A modified epidemiological model for computer viruses. Applied Mathematics and Computation 2009 213 2 355 360 10.1016/j.amc.2009.03.023 2536658 ZBL1185.68133
9. Piqueira J. R. C., de Vasconcelos A. A., Gabriel C. E. C. J., Araujo V. O., Dynamic models for computer viruses. Computers and Security 2008 27 7-8 355 359 2-s2.0-55649121612 10.1016/j.cose.2008.07.006
10. Ren J., Yang X., Yang L.-X., Xu Y., Yang F., A delayed computer virus propagation model and its dynamics. Chaos, Solitons & Fractals 2012 45 1 74 79 10.1016/j.chaos.2011.10.003 2863589
11. Ren J., Yang X., Zhu Q., Yang L.-X., Zhang C., A novel computer virus model and its dynamics. Nonlinear Analysis: Real World Applications 2012 13 1 376 384 10.1016/j.nonrwa.2011.07.048 2846848 ZBL1238.34076
12. Wierman J. C., Marchette D. J., Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction. Computational Statistics & Data Analysis 2004 45 1 3 23 10.1016/S0167-9473(03)00113-0 2041255 (Pubitemid 38188000)
13. Yuan H., Chen G., Network virus-epidemic model with the point-to-group information propagation. Applied Mathematics and Computation 2008 206 1 357 367 10.1016/j.amc.2008.09.025 2474981 ZBL1162.68404
14. Hasminskii R. Z., Stochastic Stability of Differential Equations 1980 7 Groningen, The Netherlands Sijthoff and Noordhoff 600653
15. Ji C., Jiang D., Yang Q., Shi N., Dynamics of a multigroup SIR epidemic model with stochastic perturbation. Automatica 2012 48 1 121 131 10.1016/j.automatica.2011.09.044 2879419