Stability analysis of computer virus model system in networks

Applied Mechanics and Materials

Volumn 278-280, Issue , 2013, Pages 2033-2038

  Ge, Shao Ting ^a   Tang, Gong You ^a   Yang, Xue ^a   Xu, Qi Lei ^a   Yu, Hao ^a   Wang, Pei Dong ^b  

^a OCEAN UNIVERSITY OF CHINA   (China)

^b Qingdao Quality Supervision Station of Communications   (China)

Author keywords

Computer virus model; Disc theorem; Discrete time systems; Stability

Indexed keywords

DISC THEOREM; DISCRETE TIME SYSTEM; DISEASE EQUILIBRIUM; DISEASE-FREE EQUILIBRIUM; STABILITY ANALYSIS; STABILITY CONDITION; SUFFICIENT CONDITIONS; VIRUS MODEL;

COMPUTER VIRUSES; CONVERGENCE OF NUMERICAL METHODS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; EPIDEMIOLOGY; LYAPUNOV METHODS; MATHEMATICAL MODELS;

STABILITY;

EID: 84873149027     PISSN: 16609336     EISSN: 16627482     Source Type: Book Series    
DOI: 10.4028/www.scientific.net/AMM.278-280.2033     Document Type: Conference Paper

References (15)

1. B. K. Mishra, S. K. Pandey, Fuzzy epidemic model for the transmission of worms in computer network, Nonlinear Analysis: Real World Applications, 2010, 11(5): 4335-4341.
2. X. Han, Q. Tan, Dynamical behavior of computer virus on Internet, Applied Mathematics and Computation, 2010, 217(6): 2520-2526.
3. J. Clark, S. Leblanc, S. Knight, Compromise through USB-based Hardware Trojan Horse device, Future Generation Computer Systems, 2011, 27(5): 555-563.
4. J. R.C. Piqueira, A. A. de Vasconcelos, C. E.C.J. Gabriel, V. O. Araujo, Dynamic models for computer viruses, Computers and security, 2008, 27(7-8): 355-359.
5. B. Mishra, N. Jha, Fixed period of temporary immunity after run of anti-malicious software on computer nodes, Applied Mathematics and Computation, 2007, 190(2): 1207-1212.
6. Z. Mukandavirea, C. Chiyaka, W. Garira, G. Musuka, Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay. Nonlinear Analysis: Theory, Methods and Applications, 2009, 71(3-4): 1082-1093.
7. X. Yan, Y. Zou, Optimal and sub-optimal quarantine and isolation control in SARS epidemics, Mathematical and Computer Modelling, 2008, 47(1-2): 235-245.
8. Y. Zhou, Z. Ma, A Discrete Epidemic Model for SARS Transmission and Control in China, Mathematical and Computer Modelling, 2004, 40(13): 1491-1506.
9. C. Chiyaka, J.M. Tchuenche, W. Garira, S. Dube, A mathematical analysis of the effects of control strategieson the transmission dynamics of malaria, Applied Mathematics and Computation, 2008, 195, (2): 641-662.
10. Z.-W. Jia, G.-Y. Tang, Z. Jin, C. Dye, S. J. Vlas, X.-W. Li. D. Feng, L.-Q. Fang, W.-J. Zhao, W.-C. Ca, Modeling the impact of immigration on the epidemiology of tuberculosis, Theoretical Population Biology, 2008, 73(3): 437-448.
11. J. C. Wierman, D. J. Marchette, Modeling computer virus prevalence with a susceptibleinfected - susceptible model with reintroduction, Computational Statistics & Data Analysis, 2004, 45(1): 3-23.
12. H. Yuan, G. Chen, Network virus-epidemic model with the point-to-group information propagation, Applied Mathematics and Computation, 2008, 206(1): 357-367.
13. B. K. Mishra, D. K. Saini, SEIRS epidemic model with delay for transmission of malicious objects in computer network. Applied Mathematics and Computation, 2007, 188(2): 1476-1482.
14. H. Yuan, G. Chen, J. Wu, H. Xiong, Towards controlling virus propagation in information systems with point-to-group information sharing, Decision Support Systems, 2009, 48(1): 57-68.
15. La-di Wang, Jian-quan Li, Global stability of an epidemic model with nonlinear incidence rate and differential infectivity, Applied Mathematics and Computation, 2005, 161(3): 769-778.