Capturing the interplay between malware and anti-malware in a computer network

Applied Mathematics and Computation

Volumn 229, Issue , 2014, Pages 340-349

  Misra, A K ^a   Verma, Maitri ^a   Sharma, Anupama ^a  

^a BANARAS HINDU UNIVERSITY   (India)

Author keywords

Anti malware; Computer networks; Malware; Mathematical model; Stability

Indexed keywords

ANTI-MALWARE; MALWARES; STABILITY BEHAVIOR;

COMPUTER NETWORKS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; VIRUSES;

COMPUTER CRIME;

EID: 84891879473     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.12.059     Document Type: Article

References (24)

1. F. Cohen Computer viruses: theory and experiments Comput. Secur. 6 1987 22 35
2. J.O. Kephart, S.R. White, and D.M. Chess Computers and epidemiology IEEE Spectr. 6 1993 20 26
3. J.R.C. Piqueira, B.F. Navarro, and L.H.A. Monteiro Epidemiological models applied to viruses in computer networks J. Comp. Sci. 1 2005 31 34
4. W. Shaojie, L. Qiming, Analysis of a mathematical model for worm virus propagation in Advances in Information Security and Its Application, J.H. Park et al. (Eds.) Communications in Computer and Information Science, vol. 36, Springer, 2009, pp. 78-84.
5. H. Yuan, and G. Chen Network virus-epidemic model with the point-to-group information propagation Appl. Math. Comput. 206 2008 357 367
6. P.V. Mieghem, J. Omic, and R. Kooij Virus spread in networks IEEE ACM Trans. Networking 17 2009 1 14
7. L.P. Song, Z. Jin, G.Q. Sun, J. Zhang, and X. Hana Influence of removable devices on computer worms: dynamic analysis and control strategies Comp. Math. Appl. 61 2011 1823 1829
8. Q. Zhu, X. Yang, and J. Ren Modeling and analysis of the spread of computer virus Commun. Nonlinear. Sci. Numer. Simulat. 17 2012 5117 5124
9. S. Xu, W. Lu, and Z. Zhan A stochastic model of multivirus dynamics IEEE Trans. Dependable Secure 9 2012 30 45
10. L.X. Yang, X. Yang, Q. Zhu, and L. Wen A computer virus model with graded cure rates Nonlinear Anal. RWA 14 2013 414 422
11. B.K. Mishra, and D.K. Saini SEIRS epidemic model with delay for transmission of malicious objects in computer network Appl. Math. Comput. 188 2007 1476 1482 (Pubitemid 46710039)
12. X. Han, and Q. Tan Dynamical behavior of computer virus on Internet Appl. Math. Comput. 217 2010 2520 2526
13. B.K. Mishra, and S.K. Pandey Effect of anti-virus software on infectious nodes in computer network: a mathematical model Phys. Lett. A 376 2012 2389 2393
14. J. Ren, X. Yang, Q. Zhu, and C. Zhang L-X Yang A novel computer virus model and its dynamics Nonlinear Anal. RWA 13 2012 376 384
15. J.R.C. Piqueira, and V.O. Araujo A modified epidemiological model for computer viruses Appl. Math. Comput. 213 2009 355 360
16. D.K. Saini A mathematical model for the effect of malicious object on computer network immune system Appl. Math. Model. 35 2011 3777 3787
17. B.K. Mishra, and N. Keshri Mathematical model on the transmission of worms in wireless sensor network Appl. Math. Model. 37 2013 4103 4111
18. S. Bonhoeffer, R.M. May, G.M. Shaw, and M.A. Nowak Virus dynamics and drug therapy Proc. Nat. Acad. Sci. USA 94 1997 6971 6976 (Pubitemid 27281975)
19. A.S. Perelson, and P.W. Nelson Mathematical analysis of HIV-I dynamics in vivo SIAM Rev. 41 1999 3 44 (Pubitemid 129723746)
20. M.A. Nowak, and R.M. May Virus Dynamics: Mathematical Principles of Immunology and Virology 2000 Oxford University Press New York
21. A.S. Perelson Modelling viral and immune system dynamics Nat. Rev. 2 2002 28 36 (Pubitemid 37328773)
22. H.I. Freedman, and J.W.H. So Global stability and persistence of simple food chains Math. Biosci. 76 1985 69 86
23. P. van den Driessche, and J. Watmough Reproduction numbers and sub-thershold endemic equalibria for compartmental models of disease transmission Math. Biosci. 180 2002 29 48 (Pubitemid 35304346)
24. J.R.C. Piqueira, A.A. de Vasconcelos, C.E.C.J. Gabriel, and V.O. Araujo Dynamic models for computer viruses Comput. Secur. 27 2008 355 359