Optimal control of computer virus under a delayed model

Applied Mathematics and Computation

Volumn 218, Issue 23, 2012, Pages 11613-11619

  Zhu, Qingyi ^a   Yang, Xiaofan ^a   Yang, Lu Xing ^a   Zhang, Chunming ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Computer virus; Control strategy; Controlled system; Delayed model; Objective functional; Optimal control problem

Indexed keywords

CONTROL STRATEGIES; CONTROLLED SYSTEM; DELAYED MODELS; OBJECTIVE FUNCTIONAL; OPTIMAL CONTROL PROBLEM;

CONTROL; OPTIMAL CONTROL SYSTEMS;

COMPUTER VIRUSES;

EID: 84863325044     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.04.092     Document Type: Article

References (15)

1. J.O. Kephart, S.R. White, Directed-graph epidemiological models of computer viruses, in: 1991 IEEE Symposium on Security and Privacy, 1991, pp. 343-359.
2. J.O. Kephart, S.R. White, Measuring and modeling computer virus prevalence, in: 1993 IEEE symposium on Security and Privacy, 1993, pp. 2-15.
3. J.C. Wierman, and D.J. Marchette Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction Comput. Stat. Data Anal. 45 2004 3 23
4. L. Billings, W.M. Spears, and I.B. Schwartz A unified prediction of computer virus spread in connected networks Phys. Lett. A 297 2002 261 266
5. H. Yuan, and G. Chen Network virus-epidemic model with the point-to-group information propagation Appl. Math. Comput. 206 2008 357 367
6. J.R.C. Piqueira, A.A. de Vasconcelos, C.E.C.J. Gabriel, and V.O. Araujo Dynamic models for computer viruses Comput. Security 27 2008 355 359
7. J.R.C. Piqueira, and V.O. Araujo A Modified epidemiological model for computer viruses Appl. Math. Comput. 213 2009 355 360
8. B. Mishra, and N. Jha Fixed period of temporary immunity after run of anti-malicious software on computer nodes Appl. Math. Comput. 190 2007 1207 1212
9. X. Han, and Q. Tan Dynamical behavior of computer virus on Internet Appl. Math. Comput. 217 2010 2520 2526
10. G. Zaman, Y.H. Kang, and I.H. Jung Optimal vaccination and treatment in the SIR epidemic model Proc. KSIAM 3 2007 31 33
11. G. Zaman, Y.H. Kang, and I.H. Jung Stability analysis and optimal vaccination of an SIR epidemic model Biosystems 93 2008 240 249
12. G. Zaman, Y.H. Kang, and I.H. Jung Optimal treatment of an SIR epidemic model with time delay Biosystems 98 2009 43 50
13. W.H. Fleming, and R.W. Rishel Deterministic and Stochastic 1975 Springer Verlag New York
14. M.I. Kamien, and N.L. Schwartz Dynamics Optimization: The Calculus of Variations and Optimal Control in Economics and Management 2000 Elsevier Science The Netherlands
15. K.R. Fister, S. Lenhart, and J.S. Mc Nally Optimizing chemotherapy in an HIV model Electron. J. Diff. Eqns. 32 1998 1 12