메뉴 건너뛰기




Volumn 37, Issue 6, 2013, Pages 4103-4111

Mathematical model on the transmission of worms in wireless sensor network

Author keywords

Antivirus treatment; Epidemic model; Global stability; Wireless sensor network; Worms

Indexed keywords

ANTI VIRUS; ASYMPTOTICALLY STABLE; COMMUNICATION CAPABILITIES; CRITICAL ANALYSIS; CYBER-ATTACKS; DEFENSE CAPABILITY; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; FEASIBLE REGIONS; GLOBAL STABILITY; REPRODUCTION NUMBERS; RESOURCE-CONSTRAINED; SECURITY MEASURE; SYSTEMS OF EQUATIONS; TEMPORAL DYNAMICS; WIRELESS SENSOR NETWORK (WSNS); WORM PROPAGATION; WORMS;

EID: 84872605365     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2012.09.025     Document Type: Article
Times cited : (143)

References (51)
  • 1
    • 33746766914 scopus 로고    scopus 로고
    • Qos supporting and optimal energy allocation for a cluster-based wireless sensor network
    • Tang S., Li W. Qos supporting and optimal energy allocation for a cluster-based wireless sensor network. Comput. Commun. 2006, 29:2569-2577.
    • (2006) Comput. Commun. , vol.29 , pp. 2569-2577
    • Tang, S.1    Li, W.2
  • 3
    • 84872621653 scopus 로고    scopus 로고
    • Weaver, in: Proc. Of the 11th USENIX Security Symposium (Security '02)
    • S.Stantiford, V. Paxton, Weaver, in: Proc. Of the 11th USENIX Security Symposium (Security '02), 2000.
    • (2000)
    • Stantiford, S.1    Paxton, V.2
  • 7
  • 10
    • 34248175732 scopus 로고    scopus 로고
    • SEIRS epidemic model with delay for transmission of malicious objects in computer network
    • Mishra Bimal Kumar, Saini Dinesh Kumar 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
  • 11
    • 34247248180 scopus 로고    scopus 로고
    • Mathematical models on computer virus
    • Mishra Bimal Kumar, Saini Dinesh K Mathematical models on computer virus. Appl. Math. Comput. 2007, 187(2):929-936.
    • (2007) Appl. Math. Comput. , vol.187 , Issue.2 , pp. 929-936
    • Mishra, B.K.1    Saini, D.K.2
  • 12
    • 34250656571 scopus 로고    scopus 로고
    • Fixed period of temporary immunity after run of anti-malicious software on computer nodes
    • Mishra Bimal Kumar, Jha Navnit 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
  • 13
    • 36749023984 scopus 로고    scopus 로고
    • Dealing with software viruses: a biological paradigm
    • Gelenbe E. Dealing with software viruses: a biological paradigm. Inform. Security Tech. Rep. 2007, 12(4):242-250.
    • (2007) Inform. Security Tech. Rep. , vol.12 , Issue.4 , pp. 242-250
    • Gelenbe, E.1
  • 14
    • 84872596854 scopus 로고    scopus 로고
    • Dealing with software viuses under control
    • Springer, 20th International Symposium on Computer and Information Sciences - ISCIS 2005
    • Gelenbe Erol Dealing with software viuses under control. Lecture Notes in Computer Science 2005, vol. 3733. Springer.
    • (2005) Lecture Notes in Computer Science , vol.3733
    • Gelenbe, E.1
  • 15
    • 33746561409 scopus 로고    scopus 로고
    • Biological metaphor for agent behavior
    • Springer-Verlag, 19th International Symposium on Computer and Information Science-ISCIS 2004
    • Gelenbe Erol, Kaptan Varol, Wang Yu Biological metaphor for agent behavior. Lecture Notes in Computer Science 2004, vol. 3280:667-675. Springer-Verlag.
    • (2004) Lecture Notes in Computer Science , vol.3280 , pp. 667-675
    • Gelenbe, E.1    Kaptan, V.2    Wang, Y.3
  • 16
    • 48849116444 scopus 로고    scopus 로고
    • Dynamical models for computer virus propagation
    • dio: 101155/2008/940526.
    • J.R.C. Piqueira, F.B. Cesar, Dynamical models for computer virus propagation, Math. Prob. Eng. dio: 101155/2008/940526.
    • Math. Prob. Eng.
    • Piqueira, J.R.C.1    Cesar, F.B.2
  • 17
    • 26844518826 scopus 로고    scopus 로고
    • Epidemiological model applied to virus in computer networks
    • Piqueira J.R.C., Navarro B.F., Monteiro L.H.A. Epidemiological model applied to virus in computer networks. J. Comput. Sci. 2005, 1(1):31-34.
    • (2005) J. Comput. Sci. , vol.1 , Issue.1 , pp. 31-34
    • Piqueira, J.R.C.1    Navarro, B.F.2    Monteiro, L.H.A.3
  • 18
    • 0001793263 scopus 로고
    • Self-nonself discrimination in a computer, in: Proceeding of IEEE Symposium on Computer Security and Privacy
    • S. Forest, S. Hofmeyr, A. Somayaji, T. Longastaff, Self-nonself discrimination in a computer, in: Proceeding of IEEE Symposium on Computer Security and Privacy, 1994, pp. 202-212.
    • (1994) , pp. 202-212
    • Forest, S.1    Hofmeyr, S.2    Somayaji, A.3    Longastaff, T.4
  • 19
    • 4544275741 scopus 로고    scopus 로고
    • Modeling the effect of timing parameters on virus propagation
    • 2003 ACM Workshop on Rapid Malcode, ACM, October
    • Y. Wang, C.X. Wang, Modeling the effect of timing parameters on virus propagation, in: 2003 ACM Workshop on Rapid Malcode, ACM, October 2003, pp. 61-66.
    • (2003) , pp. 61-66
    • Wang, Y.1    Wang, C.X.2
  • 23
    • 79956061729 scopus 로고    scopus 로고
    • Dynamic model of worms with vertical transmission in computer network
    • Mishra Bimal Kumar, Pandey Samir Dynamic model of worms with vertical transmission in computer network. Appl. Math. Comput. 2011, 217:8438-8446.
    • (2011) Appl. Math. Comput. , vol.217 , pp. 8438-8446
    • Mishra, B.K.1    Pandey, S.2
  • 24
  • 26
  • 27
    • 84872618748 scopus 로고    scopus 로고
    • Leill, An epidemiological model of virus spread and cleanup
    • Ma. M. Williamson, J. Leill, An epidemiological model of virus spread and cleanup, 2003, http://www.hpl.hp.com/techreports/.
    • (2003)
    • Ma, M.1    Williamson, J.2
  • 28
    • 37649029105 scopus 로고    scopus 로고
    • Email networks and spread of computer virus
    • 035101-1-035101-4
    • Newman M.E.J., Forrest S., Balthrop J. Email networks and spread of computer virus. Phys. Rev. E 2002, 66. 035101-1-035101-4.
    • (2002) Phys. Rev. E , vol.66
    • Newman, M.E.J.1    Forrest, S.2    Balthrop, J.3
  • 29
    • 48849111795 scopus 로고    scopus 로고
    • Thresholds for virus spread on networks
    • Draief M., Ganesh A., Massouili L. Thresholds for virus spread on networks. Ann. Appl. Prob. 2008, 18(2):359-378.
    • (2008) Ann. Appl. Prob. , vol.18 , Issue.2 , pp. 359-378
    • Draief, M.1    Ganesh, A.2    Massouili, L.3
  • 31
    • 0002606747 scopus 로고
    • A biologically inspired immune system for computers
    • in: Proceedings of International Joint Conference on Artificial Intelligence
    • J.O. Kephart, A biologically inspired immune system for computers, in: Proceedings of International Joint Conference on Artificial Intelligence, 1995.
    • (1995)
    • Kephart, J.O.1
  • 34
    • 0035689341 scopus 로고    scopus 로고
    • Infection dynamics on scale - free networks
    • 066112
    • May R.M., Lloyd A.L. Infection dynamics on scale - free networks. Phys. Rev. (E) 2001, 64(066112):1-3.
    • (2001) Phys. Rev. (E) , vol.64 , pp. 1-3
    • May, R.M.1    Lloyd, A.L.2
  • 35
    • 33751345631 scopus 로고    scopus 로고
    • The effectiveness of vaccination on the spread of email-borne computer virus
    • in: IEEE CCECE/CCGEI, IEE, May
    • S. Datta, H. Wang, The effectiveness of vaccination on the spread of email - borne computer virus, in: IEEE CCECE/CCGEI, IEE, May 2005, pp. 219 - 223.
    • (2005)
    • Datta, S.1    Wang, H.2
  • 39
    • 0015182224 scopus 로고
    • Quantitative guidelines for communicable disease control programs
    • Sanders J.-L. Quantitative guidelines for communicable disease control programs. Biometric 1971, 27:883-893.
    • (1971) Biometric , vol.27 , pp. 883-893
    • Sanders, J.-L.1
  • 40
    • 0018247773 scopus 로고
    • An immunization model for a heterogeneous population
    • Hethcote H.W. An immunization model for a heterogeneous population. Theor. Popul. Biol. 1978, 14:338-349.
    • (1978) Theor. Popul. Biol. , vol.14 , pp. 338-349
    • Hethcote, H.W.1
  • 41
    • 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, 86:3200-3203.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 42
    • 41349106348 scopus 로고    scopus 로고
    • Spread of epidemic disease on networks
    • Newman M.E.J. Spread of epidemic disease on networks. Phys. Rev. E 2002, 66:1-11.
    • (2002) Phys. Rev. E , vol.66 , pp. 1-11
    • Newman, M.E.J.1
  • 43
    • 42749108922 scopus 로고    scopus 로고
    • Efficiency and reliability of epidemic data dissemination in complex networks
    • Moreno Y., Nekovee M., Vespignani A. Efficiency and reliability of epidemic data dissemination in complex networks. Phys. Rev. E 2004, 69:1-4.
    • (2004) Phys. Rev. E , vol.69 , pp. 1-4
    • Moreno, Y.1    Nekovee, M.2    Vespignani, A.3
  • 44
    • 0036983264 scopus 로고    scopus 로고
    • Directed-graph epidemiological models of computer viruses
    • in: Proc. Fivth ACM Int. Workshop on Modeling Analysis and Simulation of Wireless and Mobile Systems
    • A. Khelil, C. Becker, J. Tian, K. Rothermel, Directed-graph epidemiological models of computer viruses, in: Proc. Fivth ACM Int. Workshop on Modeling Analysis and Simulation of Wireless and Mobile Systems, 2002, pp. 54-60.
    • (2002) , pp. 54-60
    • Khelil, A.1    Becker, C.2    Tian, J.3    Rothermel, K.4
  • 45
    • 67249098349 scopus 로고    scopus 로고
    • A topologically-aware worm propagation model for wireless sensor networks
    • workshop on Security in Distributed Computing Systems
    • S.A. Khayam, H. Radha, A topologically-aware worm propagation model for wireless sensor networks, in: Proc. Second Int. workshop on Security in Distributed Computing Systems, 2005, pp. 210-216.
    • (2005) Proc. Second Int. , pp. 210-216
    • Khayam, S.A.1    Radha, H.2
  • 46
    • 38649083121 scopus 로고    scopus 로고
    • An epidemic model of mobile phone virus
    • First Int. Symposium on Pervasive Computing and Applications
    • H. Zheng, D. Li, Z. Gao, An epidemic model of mobile phone virus, in: First Int. Symposium on Pervasive Computing and Applications, 2006, pp. 1-5.
    • (2006) , pp. 1-5
    • Zheng, H.1    Li, D.2    Gao, Z.3
  • 47
    • 33845945205 scopus 로고    scopus 로고
    • Modeling node compromise spreading in wireless sensor networks using epidemic theory
    • Proc. IEEE WoWMoM 2006, (Niagara-Falls, NY), June
    • P. De, Y. Liu, S.K. Das, Modeling node compromise spreading in wireless sensor networks using epidemic theory, in: Proc. IEEE WoWMoM 2006, (Niagara-Falls, NY), June 2006.
    • (2006)
    • De, P.1    Liu, Y.2    Das, S.K.3
  • 48
    • 50249113871 scopus 로고    scopus 로고
    • An epidemic theoretic framework for evaluating broadcast protocols in wireless sensor networks
    • Proc. IEEE (Int'l Conf. on Mobile Adhoc and sensor systems (MASS), (Pisa, Italy), Oct
    • P. De, Y. Liu, S.K. Das, An epidemic theoretic framework for evaluating broadcast protocols in wireless sensor networks, in: Proc. IEEE (Int'l Conf. on Mobile Adhoc and sensor systems (MASS), (Pisa, Italy), Oct. 2007.
    • (2007)
    • De, P.1    Liu, Y.2    Das, S.K.3
  • 50
    • 84872613654 scopus 로고    scopus 로고
    • Effect of quarantine nodes in SEQIAmS model for the transmission of malicious objects in computer network
    • Mishra Bimal Kumar, Nayak Prasant Kumar, Jha Navnit Effect of quarantine nodes in SEQIAmS model for the transmission of malicious objects in computer network. Int. J. Math. Model. Simul. Appl. 2009, 2(1):102-113.
    • (2009) Int. J. Math. Model. Simul. Appl. , vol.2 , Issue.1 , pp. 102-113
    • Mishra, B.K.1    Nayak, P.K.2    Jha, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.