메뉴 건너뛰기




Volumn 76, Issue 2, 2014, Pages 1379-1393

The pulse treatment of computer viruses: A modeling study

Author keywords

Basic reproduction ratio; Computer virus; Epidemic model; Global stability; Pulse treatment; Supercritical bifurcation; Viral periodic solution; Viral permanence; Virus free periodic solution

Indexed keywords

DYNAMICS; MECHANICAL ENGINEERING;

EID: 84899622420     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-1216-x     Document Type: Article
Times cited : (30)

References (59)
  • 2
    • 0023294949 scopus 로고
    • Computer viruses: Theory and experiments
    • Cohen, F.: Computer viruses: theory and experiments. Comput. Secur. 6(1), 22-35 (1987)
    • (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. 7(2), 130-150 (1988)
    • (1988) Comput. Secur. , vol.7 , Issue.2 , pp. 130-150
    • Murray, W.H.1
  • 5
    • 0037071123 scopus 로고    scopus 로고
    • A unified prediction of computer virus spread in connected networks
    • 0995.68007 1912464
    • Billings, L.; Spears, W.M.; Schwartz, I.B.: A unified prediction of computer virus spread in connected networks. Phys. Lett. A 297(3-4), 261-266 (2002)
    • (2002) Phys. Lett. A , vol.297 , Issue.3-4 , pp. 261-266
    • Billings, L.1    Spears, W.M.2    Schwartz, I.B.3
  • 7
    • 84864413758 scopus 로고    scopus 로고
    • Modeling and analysis of the spread of computer virus
    • 1261.93012 2960303
    • Zhu, Q.; Yang, X.; Ren, J.: Modeling and analysis of the spread of computer virus. Commun. Nonlinear Sci. Numer. Simulat. 17(12), 5117-5124 (2012)
    • (2012) Commun. Nonlinear Sci. Numer. Simulat. , vol.17 , Issue.12 , pp. 5117-5124
    • Zhu, Q.1    Yang, X.2    Ren, J.3
  • 8
    • 84864943499 scopus 로고    scopus 로고
    • Propagation of computer virus under human intervention: A dynamical model
    • (2012). 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
    • Gan, C.1    Yang, X.2    Liu, W.3    Zhu, Q.4    Zhang, X.5
  • 9
    • 84880920622 scopus 로고    scopus 로고
    • The spread of computer virus under the effect of external computers
    • 1281.68054 3083806
    • Gan, C.; Yang, X.; Zhu, Q.; Jin, J.; He, L.: The spread of computer virus under the effect of external computers. Nonlinear Dyn. 73(3), 1615-1620 (2013)
    • (2013) Nonlinear Dyn. , vol.73 , Issue.3 , pp. 1615-1620
    • Gan, C.1    Yang, X.2    Zhu, Q.3    Jin, J.4    He, L.5
  • 10
    • 84884139465 scopus 로고    scopus 로고
    • A propagation model of computer virus with nonlinear vaccination probability
    • 3142450
    • Gan, C.; Yang, X.; Liu, W.; Zhu, Q.: A propagation model of computer virus with nonlinear vaccination probability. Commun. Nonlinear Sci. Numer. Simulat. 19(1), 92-100 (2014)
    • (2014) Commun. Nonlinear Sci. Numer. Simulat. , vol.19 , Issue.1 , pp. 92-100
    • Gan, C.1    Yang, X.2    Liu, W.3    Zhu, Q.4
  • 11
    • 55949131751 scopus 로고    scopus 로고
    • Network virus-epidemic model with the point-to-group information propagation
    • 1162.68404 2474981
    • Yuan, H.; Chen, G.: Network virus-epidemic model with the point-to-group information propagation. Appl. Math. Comput. 206(1), 357-367 (2008)
    • (2008) Appl. Math. Comput. , vol.206 , Issue.1 , pp. 357-367
    • Yuan, H.1    Chen, G.2
  • 12
    • 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. 48(1), 57-68 (2009)
    • (2009) Decis. Support Syst. , vol.48 , Issue.1 , pp. 57-68
    • Yuan, H.1    Chen, G.2    Wu, J.3    Xiong, H.4
  • 13
    • 79956061729 scopus 로고    scopus 로고
    • Dynamic model of worms with vertical transmission in computer network
    • 1219.68080 2802253
    • Mishra, B.K.; Pandey, S.K.: Dynamic model of worms with vertical transmission in computer network. Appl. Math. Comput. 217(21), 8438-8446 (2011)
    • (2011) Appl. Math. Comput. , vol.217 , Issue.21 , pp. 8438-8446
    • Mishra, B.K.1    Pandey, S.K.2
  • 14
    • 70350369682 scopus 로고    scopus 로고
    • SEIQRS model for the transmission of malicious objects in computer network
    • 1185.68042 2563351
    • Mishra, B.K.; Saini, D.K.: SEIQRS model for the transmission of malicious objects in computer network. Appl. Math. Model. 34(3), 710-715 (2010)
    • (2010) Appl. Math. Model. , vol.34 , Issue.3 , pp. 710-715
    • Mishra, B.K.1    Saini, D.K.2
  • 15
    • 84870050364 scopus 로고    scopus 로고
    • Towards the epidemiological modeling of computer viruses
    • 1271.47060 Article ID 259671
    • Yang, X.; Yang, L.X.: Towards the epidemiological modeling of computer viruses. Discrete Dyn. Nat. Soc. 2012, 1-11 (2012). Article ID 259671
    • (2012) Discrete Dyn. Nat. Soc. , vol.2012 , pp. 1-11
    • Yang, X.1    Yang, L.X.2
  • 16
    • 84864933804 scopus 로고    scopus 로고
    • Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability
    • 1271.47060 Article ID 693695
    • Yang, L.X.; Yang, X.; Wen, L.; Liu, J.: Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability. Discrete Dyn. Nat. Soc. 2012, 1-13 (2012). Article ID 693695
    • (2012) Discrete Dyn. Nat. Soc. , vol.2012 , pp. 1-13
    • Yang, L.X.1    Yang, X.2    Wen, L.3    Liu, J.4
  • 17
    • 84867851680 scopus 로고    scopus 로고
    • A novel computer virus propagation model and its dynamics
    • 1255.68058 2999808
    • Yang, L.-X.; Yang, X.; Wen, L.; Liu, J.: A novel computer virus propagation model and its dynamics. Int. J. Comput. Math. 89(17), 2307-2314 (2012)
    • (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
  • 18
    • 84867877998 scopus 로고    scopus 로고
    • An SLBRS model with vertical transmission of computer virus over Internet
    • (2012). Article ID 693695
    • Yang, M.; Zhang, Z.; Li, Q.; Zhang, G.: An SLBRS model with vertical transmission of computer virus over Internet. Discrete Dyn. Nat. Soc. 2012 (2012). Article ID 693695
    • (2012) Discrete Dyn. Nat. Soc.
    • Yang, M.1    Zhang, Z.2    Li, Q.3    Zhang, G.4
  • 19
    • 84870066991 scopus 로고    scopus 로고
    • The spread of computer viruses under the influence of removable storage devices
    • 2996830
    • Yang, L.-X.; Yang, X.: The spread of computer viruses under the influence of removable storage devices. Appl. Math. Comput. 219(8), 3914-3922 (2012)
    • (2012) Appl. Math. Comput. , vol.219 , Issue.8 , pp. 3914-3922
    • Yang, L.-X.1    Yang, X.2
  • 20
    • 84866383289 scopus 로고    scopus 로고
    • A computer virus model with graded cure rates
    • 1258.68020 2969844
    • Yang, L.-X.; Yang, X.; Zhu, Q.; Wen, L.: A computer virus model with graded cure rates. Nonlinear Anal. Real world Appl. 14(1), 414-422 (2013)
    • (2013) Nonlinear Anal. Real World Appl. , vol.14 , Issue.1 , pp. 414-422
    • Yang, L.-X.1    Yang, X.2    Zhu, Q.3    Wen, L.4
  • 21
    • 84876152319 scopus 로고    scopus 로고
    • Epidemics of computer viruses: A complex-network approach
    • 3044076
    • Yang, L.-X.; Yang, X.; Liu, J.; Zhu, Q.; Gan, C.: Epidemics of computer viruses: a complex-network approach. Appl. Math. Comput. 219(16), 8705-8717 (2013)
    • (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
  • 22
    • 84887387649 scopus 로고    scopus 로고
    • Hopf bifurcation of an improved SLBS model under the influence of latent period
    • (2013) Article ID 196214
    • Zhang, C.; Liu, W.; Xiao, J.; Zhao, Y.: Hopf bifurcation of an improved SLBS model under the influence of latent period. Math. Probl. Eng. 2013 (2013) Article ID 196214
    • (2013) Math. Probl. Eng.
    • Zhang, C.1    Liu, W.2    Xiao, J.3    Zhao, Y.4
  • 23
  • 24
    • 84899658050 scopus 로고    scopus 로고
    • On global stability of a nonresident computer virus model
    • Muroya, Y.; Li, H.; Kuniya, T.: On global stability of a nonresident computer virus model. Acta Math. Sci. 19(6), 1935-1944 (2014)
    • (2014) Acta Math. Sci. , vol.19 , Issue.6 , pp. 1935-1944
    • Muroya, Y.1    Li, H.2    Kuniya, T.3
  • 25
    • 84880919302 scopus 로고    scopus 로고
    • A mixing propagation model of computer viruses and countermeasures
    • 1281.68056 3083791
    • Zhu, Q.; Yang, X.; Yang, L.-X.; Zhang, X.: A mixing propagation model of computer viruses and countermeasures. Nonlinear Dyn. 73(3), 1433-1441 (2013)
    • (2013) Nonlinear Dyn. , vol.73 , Issue.3 , pp. 1433-1441
    • Zhu, Q.1    Yang, X.2    Yang, L.-X.3    Zhang, X.4
  • 26
    • 84885071747 scopus 로고    scopus 로고
    • The effect of infected external computers on the spread of viruses: A compartment modeling study
    • 3107451
    • Yang, L.-X.; Yang, X.: The effect of infected external computers on the spread of viruses: a compartment modeling study. Phys. A 392(24), 6523-6535 (2013)
    • (2013) Phys. A , vol.392 , Issue.24 , pp. 6523-6535
    • Yang, L.-X.1    Yang, X.2
  • 29
    • 67349190516 scopus 로고    scopus 로고
    • A modified epidemiological model for computer viruses
    • 1185.68133 2536658
    • Piqueira, J.R.C.; Araujo, V.O.: A modified epidemiological model for computer viruses. Appl. Math. Comput. 213(2), 355-360 (2009)
    • (2009) Appl. Math. Comput. , vol.213 , Issue.2 , pp. 355-360
    • Piqueira, J.R.C.1    Araujo, V.O.2
  • 30
    • 84857030292 scopus 로고    scopus 로고
    • Stability analysis of VEISV propagation modeling for network worm attack
    • 1246.68067 2887239
    • Toutonji, O.A.; Yoo, S.-M.; Park, M.: Stability analysis of VEISV propagation modeling for network worm attack. Appl. Math. Model. 36(6), 2751-2761 (2012)
    • (2012) Appl. Math. Model. , vol.36 , Issue.6 , pp. 2751-2761
    • Toutonji, O.A.1    Yoo, S.-M.2    Park, M.3
  • 31
    • 34250656571 scopus 로고    scopus 로고
    • Fixed period of temporary immunity after run of anti-malicious software on computer nodes
    • 1117.92052
    • Mishra, B.K.; Jha, N.: Fixed period of temporary immunity after run of anti-malicious software on computer nodes. Appl. Math. Comput. 190(2), 1207-1212 (2007)
    • (2007) Appl. Math. Comput. , vol.190 , Issue.2 , pp. 1207-1212
    • Mishra, B.K.1    Jha, N.2
  • 32
    • 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. 188(2), 1476-1482 (2007)
    • (2007) Appl. Math. Comput , vol.188 , Issue.2 , pp. 1476-1482
    • Mishra, B.K.1    Saini, D.K.2
  • 33
    • 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. 217(6), 2520-2526 (2010)
    • (2010) Appl. Math. Comput , vol.217 , Issue.6 , pp. 2520-2526
    • Han, X.1    Tan, Q.2
  • 34
    • 82255191358 scopus 로고    scopus 로고
    • A delayed computer virus propagation model and its dynamics
    • 06196114 2863589
    • Ren, J.; Yang, X.; Yang, L.-X.; Xu, Y.; Yang, F.: A delayed computer virus propagation model and its dynamics. Chaos Solitons Fractals 45(1), 74-79 (2012)
    • (2012) Chaos Solitons Fractals , vol.45 , Issue.1 , pp. 74-79
    • Ren, J.1    Yang, X.2    Yang, L.-X.3    Xu, Y.4    Yang, F.5
  • 35
    • 84861987353 scopus 로고    scopus 로고
    • Hopf bifurcation analysis of a delayed viral infection model in computer networks
    • 1255.34071 2947124
    • Feng, L.; Liao, X.; Li, H.; Han, Q.: Hopf bifurcation analysis of a delayed viral infection model in computer networks. Math. Comput. Model. 56(7-8), 167-179 (2012)
    • (2012) Math. Comput. Model. , vol.56 , Issue.7-8 , pp. 167-179
    • Feng, L.1    Liao, X.2    Li, H.3    Han, Q.4
  • 36
    • 84863325044 scopus 로고    scopus 로고
    • Optimal control of computer virus under a delayed model
    • 1278.49045 2944005
    • Zhu, Q.; Yang, X.; Yang, L.-X.; Zhang, C.: Optimal control of computer virus under a delayed model. Appl. Math. Comput. 218(23), 11613-11619 (2012)
    • (2012) Appl. Math. Comput. , vol.218 , Issue.23 , pp. 11613-11619
    • Zhu, Q.1    Yang, X.2    Yang, L.-X.3    Zhang, C.4
  • 37
    • 84861073500 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in a computer virus model with multistate antivirus
    • (2012). Article ID 841987
    • Dong, T.; Liao, X.; Li, H.: Stability and Hopf bifurcation in a computer virus model with multistate antivirus. Abstr. Appl. Anal. 2012 (2012). Article ID 841987
    • (2012) Abstr. Appl. Anal
    • Dong, T.1    Liao, X.2    Li, H.3
  • 38
    • 84872144084 scopus 로고    scopus 로고
    • Computer viruses: Theory, model, and methods
    • (2012). Article ID 473508
    • Yang, X.; Mishra, B.K.; Liu, Y.: Computer viruses: theory, model, and methods. Discrete Dyn. Nat. Soc. 2012 (2012). Article ID 473508
    • (2012) Discrete Dyn. Nat. Soc.
    • Yang, X.1    Mishra, B.K.2    Liu, Y.3
  • 39
    • 84866079933 scopus 로고    scopus 로고
    • A stochastic dynamic model of computer viruses
    • (2012). 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.
    • Zhang, C.1    Zhao, Y.2    Wu, Y.3    Deng, S.4
  • 41
    • 0026035347 scopus 로고
    • Measles, killer of millions in developing countries: Strategies of elimination and continuing control
    • 1879678
    • Sabin, A.: Measles, killer of millions in developing countries: strategies of elimination and continuing control. Eur. J. Epidemiol. 7(1), 1-22 (1991)
    • (1991) Eur. J. Epidemiol. , vol.7 , Issue.1 , pp. 1-22
    • Sabin, A.1
  • 43
    • 0141615743 scopus 로고    scopus 로고
    • Stability of periodic solutions for an SIS model with pulse vaccination
    • 1045.92042
    • Zhou, Y.; Liu, H.: Stability of periodic solutions for an SIS model with pulse vaccination. Math. Comput. Model. 38(3-4), 299-308 (2003)
    • (2003) Math. Comput. Model. , vol.38 , Issue.3-4 , pp. 299-308
    • Zhou, Y.1    Liu, H.2
  • 44
    • 44849133934 scopus 로고    scopus 로고
    • SVIR epidemic models with vaccination strategies
    • 2960677
    • Liu, X.; Takeuchi, Y.; Iwami, S.: SVIR epidemic models with vaccination strategies. J. Theor. Biol. 253(1), 1-11 (2008)
    • (2008) J. Theor. Biol. , vol.253 , Issue.1 , pp. 1-11
    • Liu, X.1    Takeuchi, Y.2    Iwami, S.3
  • 45
    • 37349070338 scopus 로고    scopus 로고
    • An SIRVS epidemic model with pulse vaccination strategy
    • 2930229
    • Zhang, T.; Teng, Z.: An SIRVS epidemic model with pulse vaccination strategy. J. Theor. Biol. 250(2), 375-381 (2008)
    • (2008) J. Theor. Biol. , vol.250 , Issue.2 , pp. 375-381
    • Zhang, T.1    Teng, Z.2
  • 46
    • 56049117974 scopus 로고    scopus 로고
    • The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage
    • 1221.34034 2474479
    • Li, Y.; Cui, J.: The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Commun. Nonlinear Sci. Numer. Simulat. 14(5), 2353-2365 (2009)
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , Issue.5 , pp. 2353-2365
    • Li, Y.1    Cui, J.2
  • 47
    • 69249209635 scopus 로고    scopus 로고
    • Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination
    • 1172.92031 2568959
    • Jiang, G.; Yang, Q.: Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination. Appl. Math. Comput. 215(3), 1035-1046 (2009)
    • (2009) Appl. Math. Comput. , vol.215 , Issue.3 , pp. 1035-1046
    • Jiang, G.1    Yang, Q.2
  • 48
    • 65049086991 scopus 로고    scopus 로고
    • Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay
    • Wei, H.; Jiang, Y.; Song, X.; Su, G.H.; Qiu, S.Z.: Global attractivity and permanence of a SVEIR epidemic model with pulse vaccination and time delay. J. Comput. Appl. Math. 229(1), 302-312 (2009)
    • (2009) J. Comput. Appl. Math , vol.229 , Issue.1 , pp. 302-312
    • Wei, H.1    Jiang, Y.2    Song, X.3    Su, G.H.4    Qiu, S.Z.5
  • 49
    • 70350731589 scopus 로고    scopus 로고
    • A delay SIR epidemic model with pulse vaccination and incubation times
    • 1184.92044 2570527
    • Meng, X.; Chen, L.; Wu, B.: A delay SIR epidemic model with pulse vaccination and incubation times. Nonlinear Anal. Real World Appl. 11(1), 88-98 (2010)
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , Issue.1 , pp. 88-98
    • Meng, X.1    Chen, L.2    Wu, B.3
  • 50
    • 84866346316 scopus 로고    scopus 로고
    • Pulse quarantine strategy of internet worm propagation: Modeling and analysis
    • Yao, Y.; Guo, L.; Guo, H.; Yu, G.; Gao, F.; Tong, X.: Pulse quarantine strategy of internet worm propagation: modeling and analysis. Comput. Electr. Eng. 38(5), 1047-1061 (2012)
    • (2012) Comput. Electr. Eng. , vol.38 , Issue.5 , pp. 1047-1061
    • Yao, Y.1    Guo, L.2    Guo, H.3    Yu, G.4    Gao, F.5    Tong, X.6
  • 51
    • 84864951946 scopus 로고    scopus 로고
    • An impulse model for computer viruses
    • (2012). 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
    • Zhang, C.1    Zhao, Y.2    Wu, Y.3
  • 54
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • 1011.34031 1744966
    • Lakmeche, A.; Arino, O.: Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Dyn. Continuous Discrete Impuls. Syst. 7(2), 265-287 (2000)
    • (2000) Dyn. Continuous Discrete Impuls. Syst. , vol.7 , Issue.2 , pp. 265-287
    • Lakmeche, A.1    Arino, O.2
  • 56
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • 1205.82086 1895096
    • Albert, R.; Barabasi, A.-L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74(1), 47-97 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , Issue.1 , pp. 47-97
    • Albert, R.1    Barabasi, A.-L.2
  • 57
    • 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. 86(14), 3200-3203 (2001)
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.14 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 58
    • 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 63(6), (2001). Article ID 066117
    • (2001) Phys. Rev. e , vol.63 , Issue.6
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 59
    • 84890549801 scopus 로고    scopus 로고
    • The spread of computer viruses over a reduced scale-free network
    • Yang, L.X.; Yang, X.: The spread of computer viruses over a reduced scale-free network. Phys. A. 396, 173-184 (2014)
    • (2014) Phys. A. , vol.396 , pp. 173-184
    • Yang, L.X.1    Yang, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.