Skip to main content


next previous up

Previous Acknowledgments
Up Directed-Graph Epidemiological Models of Computer Viruses

References

1
J. Von Neumann and A. W. Burks, Theory of Self-Reproducing Automata, University of Illinois Press, Urbana, Illinois, 1966.

2
S. Ulam, ``On some mathematical problems connected with patterns of growth of figures,'' Proceedings of Symposia in Applied Mathematics, vol. 14, pp. 215-224. Reprinted in A. W. Burks, ed., Essays on Cellular Automata, University of Illinois Press, Urbana, Illinois, 1962.

3
W.S. McCulloch and W. Pitts, ``A logical calculus of the ideas immanent in nervous activity,'' Bulletin of Mathematical Biophysics, vol. 5, 1943, pp. 115-133.

4
J. Holland, Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, Michigan, 1975.

5
D. E. Rumelhart, J. L. McClelland, and the PDP Research Group, Parallel Distributed Processing, vol. 1 and 2, The MIT Press, Cambridge, Massachusetts, 1987.

6
S. Wolfram, ``Universality and complexity in cellular automata,'' Physica 10D, 1984, pp. 1-35.

7
Christopher Langton, ed., Artificial Life, Addison-Wesley Publishing Company, Redwood City, California, 1989.

8
Fred Cohen, ``Computer viruses, theory and experiments,'' Computers & Security, vol. 6, 1987, pp. 22-35.

9
W. H. Murray, ``The application of epidemiology to computer viruses,'' Computers & Security, vol. 7, pp. 130-150, 1988.

10
Dr. Harold Joseph Highland, ``The BRAIN virus: fact and fantasy,'' Computers & Security, vol. 7, pp. 367-370, 1988.

11
Anne E. Webster. ``University of Delaware and the Pakistani computer virus,'' Computers & Security, vol. 8, pp. 103-105, 1989.

12
Cliff Stoll, ``An epidemiology of viruses and network worms,'' 12th National Computer Security Conference, 1989, pp. 369-377.

13
M.W. Eichin and J.A. Rochlis, ``With microscope and tweezers: An analysis of the Internet virus of November 1988,'' Proc. 1989 IEEE Symp. on Security and Privacy, Oakland, California, May 1-3, 1989, pp. 326-343.

14
D. Seeley, ``A tour of the worm,'' Proc. Usenix Winter 1989 Conference, San Diego, California, 1989, p. 287.

15
E. Spafford, ``The Internet worm program: an analysis,'' Computer Comm. Review, vol. 19, 1989, p. 1.

16
Fred Cohen, ``Models of practical defenses against computer viruses,'' Computers & Security, vol. 8, 1989, pp. 149-160.

17
Maria M. Pozzo and Terence E. Gray, ``An approach to containing computer viruses,'' Computers & Security, vol. 6, 1987, pp. 321-331.

18
Catherine L. Young, ``Taxonomy of computer virus defense mechanisms,'' Proc. 10th National Computer Security Conference, Baltimore, Maryland, 1987, pp. 220-225.

19
Nick Lai and Terrence E. Gray, ``Strengthening discretionary access controls to inhibit trojan horses and computer viruses,'' Proc. Summer 1988 USENIX Conf., San Francisco, California, June 20-24, 1988, pp. 275-286.

20
George I. Davida, Yvo G. Desmedt and Brian J. Matt, ``Defending systems against viruses through cryptographic authentication,'' Proc. 1989 Symp. on Security and Privacy, Oakland, California, May 1-3, 1989, pp. 312-318.

21
Winfried Gleissner, ``A mathematical theory for the spread of computer viruses,'' Computers & Security, vol. 8, 1989, pp. 35-41.

22
Peter S. Tippett, ``Computer virus replication,'' Comput. Syst. Eur., vol. 10, 1990, pp. 33-36.

23
S. K. Jones and Clinton E. White, Jr., ``The IPM Model of Computer Virus Management,'' Computers & Security, vol. 9, 1990, pp. 411-418.

24
David Greenhalgh, ``Some results on optimal control applied to epidemics,'' Math. Biosciences, vol. 88, 1988, pp. 125-158

25
Alan Solomon, ``Epidemiology and computer viruses,'' unpublished, 1990.

26
Daniel Bernoulli, ``Essai d'une nouvelle analyse de la mortalité causée par la petite vérole et des avantages de l'inoculation pour la prévenir,'' Mém. Math. Phys. Acad. Roy. Sci. Paris, 1760, pp. 1-45.

27
Norman T. J. Bailey, The mathematical theory of infectious diseases and its applications, second edition, Oxford University Press, New York, 1975.

28
A. G. McKendrick, ``Applications of mathematics to medical problems,'' Proc. Edin. Math. Soc., vol. 14, 1926, pp. 98-130.

29
H.W. Hethcote, ``An immunization model for a heterogeneous population,'' Theoret. Population Biol., vol. 14, 1978, pp. 338-349.

30
Lisa Sattenspiel and Carl P. Simon, ``The spread and persistence of infectious diseases in structured populations,'' Mathematical Biosciences, vol. 90, 1988, pp. 341-366.

31
Martina Morris, ``Networks and diffusion: modeling the effects of selective mixing on the spread of disease,'' submitted to American Journal of Sociology.

32
Paul Waltman, Deterministic Threshold Models in the Theory of Epidemics, Springer-Verlag, New York, 1974.

33
F. Reif, Fundamentals of Statistical and Thermal Physics, McGraw-Hill, New York, 1965, p. 584.

34
Donald Ludwig, Stochastic Population Theories, Springer-Verlag, New York, 1978.

35
Edgar M. Palmer, Graphical evolution: an introduction to the theory of random graphs, John Wiley & Sons, New York, 1985.

36
P. Erdös and A. Rényi, ``On the evolution of random graphs,'' Magyar Tud. Akad. Mat. Kutató Int. Közl, vol. 5, 1960, pp. 17-61.

37
W. Goffman and V.A. Newill, ``Generalization of epidemic theory, an application to the transmission of ideas,'' Nature, vol. 204, 1964, pp. 225-228.

38
A. Demers, D. Greene, C. Hauser, W. Irish, J. Larson, S. Shenker, H. Sturgis, D. Swinehart, and D. Terry, ``Epidemic algorithms for replicated database maintenance,'' Oper. Syst. Rev., vol. 22, 1988, pp. 8-32.

next previous up

Previous Acknowledgments
Up Directed-Graph Epidemiological Models of Computer Viruses


Back To Index