Dynamics of a delay-varying computer virus propagation model

Discrete Dynamics in Nature and Society

Volumn 2012, Issue , 2012, Pages

  Ren, Jianguo ^a   Xu, Yonghong ^b   Zhang, Yongchang ^a   Dong, Yongquan ^a   Hao, Guosheng ^a  

^a JIANGSU NORMAL UNIVERSITY   (China)

^b CHONGQING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866076633     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2012/371792     Document Type: Article

References (14)

1. 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)
2. 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
3. Mishra B. K., Jha N., SEIQRS model for the transmission of malicious objects in computer network. Applied Mathematical Modelling 2010 34 3 710 715 10.1016/j.apm.2009.06.011 2563351 ZBL1185.68042
4. Wang F., Zhang Y., Wang C., Ma J., Moon S., Stability analysis of a SEIQV epidemic model for rapid spreading worms. Computers and Security 2010 29 4 410 418 2-s2.0-77951206095 10.1016/j.cose.2009.10.002
5. Song L.-P., Jin Z., Sun G.-Q., Zhang J., Han X., Influence of removable devices on computer worms: dynamic analysis and control strategies. Computers & Mathematics with Applications 2011 61 7 1823 1829 10.1016/j.camwa.2011.02. 010 2782218 ZBL1219.37065
6. Mishra B. K., Saini D. K., SEIRS epidemic model with delay for transmission of malicious objects in computer network. Applied Mathematics and Computation 2007 188 2 1476 1482 10.1016/j.amc.2006.11.012 2335644 ZBL1118.68014 (Pubitemid 46710039)
7. 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)
8. 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
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., Zhu Q., Yang L.-X., Zhang C., A novel computer virus model and its dynamics. Nonlinear Analysis 2012 13 1 376 384 10.1016/j.nonrwa.2011.07.048 2846848 ZBL1238.34076
11. Kafai Y. B., Understanding virtual epidemics: children's folk conceptions of a computer virus. Journal of Science Education and Technology 2008 17 6 523 529 2-s2.0-56749178276 10.1007/s10956-008-9102-x
12. Gourley S. A., Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays. Mathematical and Computer Modelling 2000 32 7-8 843 853 10.1016/S0895-7177(00)00175-8 1792102 ZBL0969.35133
13. Li M. Y., Muldowney J. S., A geometric approach to global-stability problems. SIAM Journal on Mathematical Analysis 1996 27 4 1070 1083 10.1137/S0036141094266449 1393426 ZBL0873.34041
14. Li M. Y., Graef J. R., Wang L., Karsai J., Global dynamics of a SEIR model with varying total population size. Mathematical Biosciences 1999 160 2 191 213 10.1016/S0025-5564(99)00030-9 1706068 ZBL0974.92029 (Pubitemid 29398860)