Stability analysis of worm propagation dynamics based on quarantine

Proceedings - 2009 2nd IEEE International Conference on Computer Science and Information Technology, ICCSIT 2009

Volumn , Issue , 2009, Pages 380-384

  Chen, Junhua ^a   Wei, Shengjun ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Quarantine; Stability; Threshold; Worm

Indexed keywords

EFFECTIVE MEASURES; EPIDEMIOLOGICAL MODELS; NUMERICAL SIMULATION; QUARANTINE; STABILITY ANALYSIS; THEORETICAL RESULT; THRESHOLD; WORM; WORM PROPAGATION;

COMPUTER CRIME; COMPUTER SCIENCE; CONVERGENCE OF NUMERICAL METHODS; INFORMATION TECHNOLOGY; SIMULATORS; STABILITY; SWITCHING CIRCUITS;

INTERNET;

EID: 70449106301     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCSIT.2009.5234704     Document Type: Conference Paper

References (13)

1. Marc Lipsitch, et al., "Transmission Dynamics and Control of Severe Acute Respiratory Syndrome," Science Magazine, vol. 300. no. 5627, 20 June 2003: pp.1966-1970, doi:10.1126/science.1086616.
2. D. Moore, et al., "Internet quarantine: requirements for containing selfpropagating code," in IEEE Infocom 2003, San Francisco, CA, 2003, pp.1901-1910.
3. Wang Y, Wang CX. Modeling the effects of timing parameters on virus propagation. In: Staniford S, ed. Proc. of the ACM CCS Workshop on Rapid Malcode (WORM 2003). Washington, 2003.
4. Streftaris G, Gibson GJ. "Statistical Inference for Stochastic Epidemic Models". In: Proc. of the 17th Int'l Workshop on Statistical Modelling. Chania, 2002. pp.609-616.
5. Herbert Hethcotea, Ma Zhien and Liao Shengbing,. "Effects of quarantine in six endemic models for infectious diseases," Mathematical Biosciences, vol. 180, Issues 1-2, November-December 2002, pp.141-160, doi:10.1016/S0025-5564(02)00111-6.
6. A.G. McKendrick, "Applications of Mathematics to Medical Problems," Proceedings of the Edinburgh Mathematical Society, vol.44, 1925, pp.94-130, doi:10.1017/S0013091500034428.
7. Kephart, J.O. White, S.R, "Directed-graph epidemiological models of computer viruses," Research in Security and Privacy, 1991. Proceedings., 1991 IEEE Computer Society Symposium on, Oakland, CA, USA, May 1991, pp. 343-359, doi: 10.1109/RISP.1991.130801.
8. C C Zou, Weibo Gong, Don Towsley. "Worm propagation modeling and analysis under dynamic quarantine defense," Proceedings of the 2003 ACM workshop, ACM Press, Oct. 2003, Washington, DC, USA, pp.51-60, doi:10.1145/948187.948197.
9. Thomas M. Chen and Nasir Jamil. "Effectiveness of Quarantine in Worm Epidemics," Communications, 2006 IEEE International Conference, IEEE Press, Istanbul, Turkey, vol. 5, 11-15 June 2006 pp.2142-2147, doi:10.1109/ICC.2006.255087.
10. Li Tao, Weng Huihui, Zhu Zhengping. "Modeling and analyzing the spread of worms based on quarantine," Proceedings of the 27th Chinese Control Conference, IEEE Press, Kunming,Yunnan, China, July 16-18, 2008: pp.299-301, doi:10.1109/CHICC.2008.4605158.
11. Frauenthal JC. Mathematical modeling in epidemiology, Springerverlag, New York Inc, Nov. 1980, pp.12-24.
12. J.K. Hale, Ordinary Differential Equations, 2nd Ed., Krieger, Basel, 1980.
13. Zhien Ma, Yichang Zou. Qualitative and Stability Methods of Ordinary Differential Equations, Science Press, Beijing, Aug 2001.