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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 304868, 18 pages
Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy
1Key Laboratory of Medical Image Computing of Ministry of Education, Northeastern University, Shenyang 110004, China
2College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Received 22 July 2012; Accepted 26 October 2012
Academic Editor: Bimal Kumar Mishra
Copyright © 2012 Yu Yao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- R. M. Anderson and R. M. May, Infectious Diseases of Human, Dynamics and Control, Oxford University Press, Oxford, UK, 1992.
- R. M. Anderson and R. M. May, “Population biology of infectious disease I,” Nature, vol. 180, pp. 361–367, 1999.
- Zhu, Q. Yang X, and J. Ren, “Modeling and analysis of the spread of computer virus,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 12, pp. 5117–55124, 2012.
- B. K. Mishra and D. K. Saini, “SEIRS epidemic model with delay for transmission of malicious objects in computer network,” Applied Mathematics and Computation, vol. 188, no. 2, pp. 1476–1482, 2007.
- B. K. Mishra and D. Saini, “Mathematical models on computer viruses,” Applied Mathematics and Computation, vol. 187, no. 2, pp. 929–936, 2007.
- B. K. Mishra and N. Jha, “Fixed period of temporary immunity after run of anti-malicious software on computer nodes,” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1207–1212, 2007.
- B. K. Mishra and S. K. Pandey, “Dynamic model of worms with vertical transmission in computer network,” Applied Mathematics and Computation, vol. 217, no. 21, pp. 8438–8446, 2011.
- B. K. Mishra and S. K. Pandey, “Fuzzy epidemic model for the transmission of worms in computer network,” Nonlinear Analysis: Real World Applications, vol. 11, no. 5, pp. 4335–4341, 2010.
- T. Dong, X. Liao, and H. Li, “Stability and Hopf bifurcation in a computer virus model with multistate antivirus,” Abstract and Applied Analysis, Article ID 841987, 16 pages, 2012.
- J. Ren, X. Yang, Q. Zhu, L.-X. Yang, and C. Zhang, “A novel computer virus model and its dynamics,” Nonlinear Analysis. Real World Applications, vol. 13, no. 1, pp. 376–384, 2012.
- L.-X. Yang and X. Yang, “Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability,” Discrete Dynamics in Nature and Society, vol. 2012, Article ID 693695, 13 pages, 2012.
- C. Gan, X. Yang, W. Liu, Q. Zhu, and X. Zhang, “Propagation of computer virus under human intervention: a dynamical model,” Discrete Dynamics in Nature and Society, vol. 2012, Article ID 106950, 8 pages, 2012.
- C. C. Zou, W. Gong, and D. Towsley, “Code Red worm propagation modeling and analysis,” in Proceedings of the 9th ACM Symposium on Computer and Communication Security, pp. 138–147, Washington, DC, USA, 2002.
- B. K. Mishra and N. Jha, “SEIQRS model for the transmission of malicious objects in computer network,” Applied Mathematical Modelling, vol. 34, no. 3, pp. 710–715, 2010.
- C. C. Zou, W. Gong, and D. Towsley, “Worm propagation modeling and analysis under dynamic quarantine defense,” in Proceedings of the ACM Workshop on Rapid Malcode (WORM '03), pp. 51–60, Washington, DC, USA, October 2003.
- Y. Yao, X. Xei, H. Gao, G. Yub, F. -X. Gaoa, and X. -J. Tong, “Hopf bifurcation in an Internet worm propagation model with time delay in quarantine,” Mathematical and Computer Modeling. In press.
- Y. Yao, L. Guo, H. Guo, G. Yu, F. Gao, and X. Tong, “Pulse quarantine strategy of internet worm propagation: modeling and analysis,” Computers & Electrical Engineering, vol. 38, no. 5, pp. 1047–1061, 2012.
- F. Wang, Y. Zhang, C. Wang, J. Ma, and S. Moon, “Stability analysis of a SEIQV epidemic model for rapid spreading worms,” Computers and Security, vol. 29, no. 4, pp. 410–418, 2010.
- Y. Yang, Y. Fang, and L. Y. Li, “The analysis of propagation model for internet worm based on active vaccination,” in Proceedings of the 4th International Conference on Natural Computation (ICNC '08), pp. 682–688, Chendu, China, October 2008.
- J.-F. Zhang, W.-T. Li, and X.-P. Yan, “Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system,” Applied Mathematics and Computation, vol. 198, no. 2, pp. 865–876, 2008.