메뉴 건너뛰기




Volumn 19, Issue 6, 2014, Pages 1935-1944

A new epidemic model of computer viruses

Author keywords

Asymptotically autonomous system; Computer virus; Endemic equilibrium; Epidemic model; Global stability

Indexed keywords

EPIDEMIOLOGY;

EID: 84890792953     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2013.09.038     Document Type: Article
Times cited : (79)

References (54)
  • 2
    • 0023294949 scopus 로고
    • Computer viruses: theory and experiments
    • Cohen F. Computer viruses: theory and experiments. Comput Secur 1987, 6(1):22-35.
    • (1987) Comput Secur , vol.6 , Issue.1 , pp. 22-35
    • Cohen, F.1
  • 3
    • 0023997770 scopus 로고
    • The application of epidemiology to computer viruses
    • Murray W.H. The application of epidemiology to computer viruses. Comput Secur 1988, 7(2):130-150.
    • (1988) Comput Secur , vol.7 , Issue.2 , pp. 130-150
    • Murray, W.H.1
  • 4
    • 0026156688 scopus 로고
    • Directed-graph epidemiological models of computer viruses
    • Proc 1991 IEEE Comput Society Symp Res Secur Privacy
    • Kephart JO, White SR. Directed-graph epidemiological models of computer viruses. In: Proc 1991 IEEE Comput Society Symp Res Secur Privacy, 1991. p. 343-359.
    • (1991) , pp. 343-359
    • Kephart, J.O.1    White, S.R.2
  • 6
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert R., Barabási A.-L. Statistical mechanics of complex networks. Rev Mod Phys 2002, 74(1):47-97.
    • (2002) Rev Mod Phys , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 7
    • 84930064585 scopus 로고    scopus 로고
    • Hierarchical organization in complex networks
    • (Article ID 026112)
    • Ravasz E., Barabási A.-L. Hierarchical organization in complex networks. Phys Rev E 2003, 27(2). (Article ID 026112).
    • (2003) Phys Rev E , vol.27 , Issue.2
    • Ravasz, E.1    Barabási, A.-L.2
  • 8
    • 85088493315 scopus 로고    scopus 로고
    • Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
    • (Article ID 178701)
    • Barthélemy M., Barrat A., Pastor-Satorras R., Vespignani A. Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. Phys Rev Lett 2004, 92(7). (Article ID 178701).
    • (2004) Phys Rev Lett , vol.92 , Issue.7
    • Barthélemy, M.1    Barrat, A.2    Pastor-Satorras, R.3    Vespignani, A.4
  • 10
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • Pastor-Satorras R., Vespignani A. Epidemic spreading in scale-free networks. Phys Rev Lett 2001, 86(14):3200-3203.
    • (2001) Phys Rev Lett , vol.86 , Issue.14 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 11
    • 0035363452 scopus 로고    scopus 로고
    • Epidemic dynamics and endemic states in complex networks
    • (Article ID 066117)
    • Pastor-Satorras R., Vespignani A. Epidemic dynamics and endemic states in complex networks. Phys Rev E 2001, 63(6). (Article ID 066117).
    • (2001) Phys Rev E , vol.63 , Issue.6
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 12
    • 0035907006 scopus 로고    scopus 로고
    • How viruses spread among computers and people
    • Lloyd A.L., May R.M. How viruses spread among computers and people. Science 2001, 292(5520):1316-1317.
    • (2001) Science , vol.292 , Issue.5520 , pp. 1316-1317
    • Lloyd, A.L.1    May, R.M.2
  • 13
    • 41349106738 scopus 로고    scopus 로고
    • Immunization of complex networks
    • (Article ID 036104)
    • Pastor-Satorras R., Vespignani A. Immunization of complex networks. Phys Rev E 2002, 65(3). (Article ID 036104).
    • (2002) Phys Rev E , vol.65 , Issue.3
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 14
    • 41349118476 scopus 로고    scopus 로고
    • Halting viruses in scale-free networks
    • (Article ID 055103)
    • Dezsö Z., Barabási A.-L. Halting viruses in scale-free networks. Phys Rev E 2002, 65(5). (Article ID 055103).
    • (2002) Phys Rev E , vol.65 , Issue.5
    • Dezsö, Z.1    Barabási, A.-L.2
  • 15
    • 0037071123 scopus 로고    scopus 로고
    • A unified prediction of computer virus spread in connected networks
    • Billings L., Spears W.M., Schwartz I.B. A unified prediction of computer virus spread in connected networks. Phys Lett A 2002, 297(3-4):261-266.
    • (2002) Phys Lett A , vol.297 , Issue.3-4 , pp. 261-266
    • Billings, L.1    Spears, W.M.2    Schwartz, I.B.3
  • 16
    • 0037449781 scopus 로고    scopus 로고
    • Absence of epidemic threshold in scale-free networks with degree correlations
    • (Article ID 028701)
    • Boguñá M., Pastor-Satorras R., Vespignani A. Absence of epidemic threshold in scale-free networks with degree correlations. Phys Rev Lett 2003, 90(2). (Article ID 028701).
    • (2003) Phys Rev Lett , vol.90 , Issue.2
    • Boguñá, M.1    Pastor-Satorras, R.2    Vespignani, A.3
  • 17
    • 0442280819 scopus 로고    scopus 로고
    • Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
    • Wierman J.C., Marchette D.J. Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction. Comput Stat Data Anal 2004, 45(1):3-23.
    • (2004) Comput Stat Data Anal , vol.45 , Issue.1 , pp. 3-23
    • Wierman, J.C.1    Marchette, D.J.2
  • 19
    • 40949107911 scopus 로고    scopus 로고
    • Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization
    • (Article ID 036113)
    • Fu X., Small M., Walker D.M., Zhang H. Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization. Phys Rev E 2008, 77(3). (Article ID 036113).
    • (2008) Phys Rev E , vol.77 , Issue.3
    • Fu, X.1    Small, M.2    Walker, D.M.3    Zhang, H.4
  • 20
    • 78349292558 scopus 로고    scopus 로고
    • Thresholds for epidemic spreading in networks
    • (Article ID 218701)
    • Castellano C., Pastor-Satorras R. Thresholds for epidemic spreading in networks. Phys Rev Lett 2010, 105(21). (Article ID 218701).
    • (2010) Phys Rev Lett , vol.105 , Issue.21
    • Castellano, C.1    Pastor-Satorras, R.2
  • 21
    • 0000494582 scopus 로고    scopus 로고
    • Epidemic outbreaks in complex heterogeneous networks
    • Moreno Y., Pastor-Satorras R., Vespignani A. Epidemic outbreaks in complex heterogeneous networks. Eur Phys J B 2002, 26(4):521-529.
    • (2002) Eur Phys J B , vol.26 , Issue.4 , pp. 521-529
    • Moreno, Y.1    Pastor-Satorras, R.2    Vespignani, A.3
  • 22
    • 1842587928 scopus 로고    scopus 로고
    • The impact of countermeasure propagation on the prevalence of computer viruses
    • Chen L.-C., Carley K.M. The impact of countermeasure propagation on the prevalence of computer viruses. IEEE Trans Syst Man Cybern - Part B 2004, 34(2):823-833.
    • (2004) IEEE Trans Syst Man Cybern - Part B , vol.34 , Issue.2 , pp. 823-833
    • Chen, L.-C.1    Carley, K.M.2
  • 23
    • 48849111795 scopus 로고    scopus 로고
    • Thresholds for virus spread on networks
    • Draief M., Ganesh A., Massouilié L. Thresholds for virus spread on networks. Ann Appl Probab 2008, 18(2):359-378.
    • (2008) Ann Appl Probab , vol.18 , Issue.2 , pp. 359-378
    • Draief, M.1    Ganesh, A.2    Massouilié, L.3
  • 24
    • 34250656571 scopus 로고    scopus 로고
    • Fixed period of temporary immunity after run of anti-malicious software on computer nodes
    • Mishra B.K., Jha N. Fixed period of temporary immunity after run of anti-malicious software on computer nodes. Appl Math Comput 2007, 190(2):1207-1212.
    • (2007) Appl Math Comput , vol.190 , Issue.2 , pp. 1207-1212
    • Mishra, B.K.1    Jha, N.2
  • 25
    • 34248175732 scopus 로고    scopus 로고
    • SEIRS epidemic model with delay for transmission of malicious objects in computer network
    • Mishra B.K., Saini D.K. SEIRS epidemic model with delay for transmission of malicious objects in computer network. Appl Math Comput 2007, 188(2):1476-1482.
    • (2007) Appl Math Comput , vol.188 , Issue.2 , pp. 1476-1482
    • Mishra, B.K.1    Saini, D.K.2
  • 27
    • 55949131751 scopus 로고    scopus 로고
    • Network virus-epidemic model with the point-to-group information propagation
    • Yuan H., Chen G. Network virus-epidemic model with the point-to-group information propagation. Appl Math Comput 2008, 206(1):357-367.
    • (2008) Appl Math Comput , vol.206 , Issue.1 , pp. 357-367
    • Yuan, H.1    Chen, G.2
  • 28
    • 67349190516 scopus 로고    scopus 로고
    • A modified epidemiological model for computer viruses
    • Piqueira J.R.C., Araujo V.O. A modified epidemiological model for computer viruses. Appl Math Comput 2009, 213(2):355-360.
    • (2009) Appl Math Comput , vol.213 , Issue.2 , pp. 355-360
    • Piqueira, J.R.C.1    Araujo, V.O.2
  • 29
    • 70349479276 scopus 로고    scopus 로고
    • Towards controlling virus propagation in information systems with point-to-group information sharing
    • Yuan H., Chen G., Wu J., Xiong H. Towards controlling virus propagation in information systems with point-to-group information sharing. Decis Support Syst 2009, 48(1):57-68.
    • (2009) Decis Support Syst , vol.48 , Issue.1 , pp. 57-68
    • Yuan, H.1    Chen, G.2    Wu, J.3    Xiong, H.4
  • 30
    • 77957993272 scopus 로고    scopus 로고
    • Dynamical behavior of computer virus on Internet
    • Han X., Tan Q. Dynamical behavior of computer virus on Internet. Appl Math Comput 2010, 217(6):2520-2526.
    • (2010) Appl Math Comput , vol.217 , Issue.6 , pp. 2520-2526
    • Han, X.1    Tan, Q.2
  • 31
    • 70350369682 scopus 로고    scopus 로고
    • SEIQRS model for the transmission of malicious objects in computer network
    • Mishra B.K., Jha N. SEIQRS model for the transmission of malicious objects in computer network. Appl Math Model 2010, 34(3):710-715.
    • (2010) Appl Math Model , vol.34 , Issue.3 , pp. 710-715
    • Mishra, B.K.1    Jha, N.2
  • 32
    • 79952988265 scopus 로고    scopus 로고
    • Influence of removable devices on computer worms: dynamic analysis and control strategies
    • Song L.-P., Jin Z., Sun G.-Q., Zhang J., Han X. Influence of removable devices on computer worms: dynamic analysis and control strategies. Comput Math Appl 2011, 61(7):1823C1829.
    • (2011) Comput Math Appl , vol.61 , Issue.7
    • Song, L.-P.1    Jin, Z.2    Sun, G.-Q.3    Zhang, J.4    Han, X.5
  • 33
    • 79956061729 scopus 로고    scopus 로고
    • Dynamic model of worms with vertical transmission in computer network
    • Mishra B.K., Pandey S.K. Dynamic model of worms with vertical transmission in computer network. Appl Math Comput 2011, 217(21):8438-8446.
    • (2011) Appl Math Comput , vol.217 , Issue.21 , pp. 8438-8446
    • Mishra, B.K.1    Pandey, S.K.2
  • 34
    • 82255191358 scopus 로고    scopus 로고
    • A delayed computer virus propagation model and its dynamics
    • Ren J., Yang X., Yang L.-X., Xu Y., Yang F. A delayed computer virus propagation model and its dynamics. Chaos Soliton Fract 2012, 45(1):4-79.
    • (2012) Chaos Soliton Fract , vol.45 , Issue.1 , pp. 4-79
    • Ren, J.1    Yang, X.2    Yang, L.-X.3    Xu, Y.4    Yang, F.5
  • 36
    • 84861073500 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a computer virus model with multistate antivirus
    • (Article ID 841987)
    • Dong T., Liao X., Li H. Stability and Hopf bifurcation in a computer virus model with multistate antivirus. Abstract Appl Anal 2012, 2012. (Article ID 841987).
    • (2012) Abstract Appl Anal , vol.2012
    • Dong, T.1    Liao, X.2    Li, H.3
  • 37
    • 84861987353 scopus 로고    scopus 로고
    • Hopf bifurcation analysis of a delayed viral infection model in computer networks
    • Feng L., Liao X., Li H., Han Q. Hopf bifurcation analysis of a delayed viral infection model in computer networks. Math Comput Model 2012, 56(7-8):167-179.
    • (2012) Math Comput Model , vol.56 , Issue.7-8 , pp. 167-179
    • Feng, L.1    Liao, X.2    Li, H.3    Han, Q.4
  • 38
    • 84870045409 scopus 로고    scopus 로고
    • Modeling and analysis of peer-to-peer botnets
    • (Article ID 865075)
    • Feng L., Liao X., Han Q., Song L. Modeling and analysis of peer-to-peer botnets. Discrete Dyn Nat Soc 2012, 2012. (Article ID 865075).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Feng, L.1    Liao, X.2    Han, Q.3    Song, L.4
  • 39
    • 84863325044 scopus 로고    scopus 로고
    • Optimal control of computer virus under a delayed model
    • Zhu Q., Yang X., Yang L.-X., Zhang C. Optimal control of computer virus under a delayed model. Appl Math Comput 2012, 218(23):11613-11619.
    • (2012) Appl Math Comput , vol.218 , Issue.23 , pp. 11613-11619
    • Zhu, Q.1    Yang, X.2    Yang, L.-X.3    Zhang, C.4
  • 40
    • 84864413758 scopus 로고    scopus 로고
    • Modeling and analysis of the spread of computer virus
    • Zhu Q., Yang X., Ren J. Modeling and analysis of the spread of computer virus. Commun Nonlinear Sci Numer Simul 2012, 17(12):5117-5124.
    • (2012) Commun Nonlinear Sci Numer Simul , vol.17 , Issue.12 , pp. 5117-5124
    • Zhu, Q.1    Yang, X.2    Ren, J.3
  • 41
    • 84864943499 scopus 로고    scopus 로고
    • Propagation of computer virus under human intervention: a dynamical model
    • (Article ID 106950)
    • Gan C., Yang X., Liu W., Zhu Q., Zhang X. Propagation of computer virus under human intervention: a dynamical model. Discrete Dyn Nat Soc 2012, 2012. (Article ID 106950).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Gan, C.1    Yang, X.2    Liu, W.3    Zhu, Q.4    Zhang, X.5
  • 42
    • 84864951946 scopus 로고    scopus 로고
    • An impulse model for computer viruses
    • (Article ID 260962)
    • Zhang C., Zhao Y., Wu Y. An impulse model for computer viruses. Discrete Dyn Nat Soc 2012, 2012. (Article ID 260962).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Zhang, C.1    Zhao, Y.2    Wu, Y.3
  • 43
    • 84866079933 scopus 로고    scopus 로고
    • A stochastic dynamic model of computer viruses
    • (Article ID 264874)
    • Zhang C., Zhao Y., Wu Y., Deng S. A stochastic dynamic model of computer viruses. Discrete Dyn Nat Soc 2012, 2012. (Article ID 264874).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Zhang, C.1    Zhao, Y.2    Wu, Y.3    Deng, S.4
  • 44
    • 84870007794 scopus 로고    scopus 로고
    • Adaptive human behavior in a two-worm interaction model
    • (Article ID 828246)
    • Song L.-P., Han X., Liu D.-M., Jin Z. Adaptive human behavior in a two-worm interaction model. Discrete Dyn Nat Soc 2012, 2012. (Article ID 828246).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Song, L.-P.1    Han, X.2    Liu, D.-M.3    Jin, Z.4
  • 45
    • 84857030292 scopus 로고    scopus 로고
    • Stability analysis of VEISV propagation modeling for network worm attack
    • Toutonji O.A., Yoo S.-M., Park M. Stability analysis of VEISV propagation modeling for network worm attack. Appl Math Model 2012, 36(6):2751-2761.
    • (2012) Appl Math Model , vol.36 , Issue.6 , pp. 2751-2761
    • Toutonji, O.A.1    Yoo, S.-M.2    Park, M.3
  • 46
    • 84870050364 scopus 로고    scopus 로고
    • Towards the epidemiological modeling of computer viruses
    • (Article ID 259671)
    • Yang X., Yang L.-X. Towards the epidemiological modeling of computer viruses. Discrete Dyn Nat Soc 2012, 2012. (Article ID 259671).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Yang, X.1    Yang, L.-X.2
  • 47
    • 84872144084 scopus 로고    scopus 로고
    • Computer virus: theory, model, and methods
    • (Article ID 473508)
    • Yang X., Mishra B.K., Liu Y. Computer virus: theory, model, and methods. Discrete Dyn Nat Soc 2012, 2012. (Article ID 473508).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Yang, X.1    Mishra, B.K.2    Liu, Y.3
  • 48
    • 84867851680 scopus 로고    scopus 로고
    • A novel computer virus propagation model and its dynamics
    • Yang L.-X., Yang X., Wen L., Liu J. A novel computer virus propagation model and its dynamics. Int J Comput Math 2012, 89(17):2307-2314.
    • (2012) Int J Comput Math , vol.89 , Issue.17 , pp. 2307-2314
    • Yang, L.-X.1    Yang, X.2    Wen, L.3    Liu, J.4
  • 49
    • 84864933804 scopus 로고    scopus 로고
    • Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability
    • (Article ID 693695)
    • Yang L.-X., Yang X. Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability. Discrete Dyn Nat Soc 2012, 2012. (Article ID 693695).
    • (2012) Discrete Dyn Nat Soc , vol.2012
    • Yang, L.-X.1    Yang, X.2
  • 50
    • 84870066991 scopus 로고    scopus 로고
    • The spread of computer viruses under the influence of removable storage devices
    • Yang L.-X., Yang X. The spread of computer viruses under the influence of removable storage devices. Appl Math Comput 2012, 219(8):3914-3922.
    • (2012) Appl Math Comput , vol.219 , Issue.8 , pp. 3914-3922
    • Yang, L.-X.1    Yang, X.2
  • 51
    • 84866383289 scopus 로고    scopus 로고
    • A computer virus model with graded cure rates
    • Yang L.-X., Yang X., Zhu Q., Wen L. A computer virus model with graded cure rates. Nonlinear Anal - Real 2013, 14(1):414-422.
    • (2013) Nonlinear Anal - Real , vol.14 , Issue.1 , pp. 414-422
    • Yang, L.-X.1    Yang, X.2    Zhu, Q.3    Wen, L.4
  • 52
    • 84876152319 scopus 로고    scopus 로고
    • Epidemics of computer viruses: a complex-network approach
    • Yang L.-X., Yang X., Liu J., Zhu Q., Gan C. Epidemics of computer viruses: a complex-network approach. Appl Math Comput 2013, 219(16):8705-8717.
    • (2013) Appl Math Comput , vol.219 , Issue.16 , pp. 8705-8717
    • Yang, L.-X.1    Yang, X.2    Liu, J.3    Zhu, Q.4    Gan, C.5
  • 53
    • 77952672921 scopus 로고
    • Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
    • Thieme H.R. Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. J Math Biol 1992, 30(7):755-763.
    • (1992) J Math Biol , vol.30 , Issue.7 , pp. 755-763
    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.