Skip to main content
SpringerLink
Log in

On Modeling Hepatitis B Transmission Using Cellular Automata

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Hepatitis B transmission is shown to be dilficult to model using differential equations, but easily modeled using cellular automata.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. R. M. Anderson and R. M. May, Infectious diseases of humans (Oxford Univ. Press, Oxford, 1995).

    Google Scholar 

  2. L. Edelstein-Keshet, Mathematical models in biology (Random House, New York, 1988).

    Google Scholar 

  3. F. Brauer, C. Castillo-Chaves, and J. Velasco-Hernandez, Proc. 4th Int. Conf. on Math. Population Dynamics (to appear).

  4. N. Boccara, E. Goles and S. Martinez, Cellular automata, dynamical systems and neural networks (Kluwer, New York, 1994).

    Google Scholar 

  5. P. Grassberger, Physica A 214:547 (1995).

    Google Scholar 

  6. E. Ahmed and H. N. Agiza, Physica A (to appear).

  7. S. Wolfram, O. Martin, and A. Odlyzko, Comm. Math. Phys. 93:219 (1984).

    Google Scholar 

  8. W. J. Edmunds, G. Medley, D. Nokes, C. O'Callaghan, H. Whittle, and A. J. Hall, Epidemiol Infect. 313–325 (1996).

  9. T. Liggett, Interacting particles systems (Springer, Berlin, 1985).

    Google Scholar 

  10. M. Hoyuelos, E. V. Albano, and H. O. Martin, J. Phys. A 30:431 (1997).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt;

    E. Ahmed, H. N. Agiza & S. Z. Hassan

Authors
  1. E. Ahmed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. N. Agiza
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Z. Hassan
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ahmed, E., Agiza, H.N. & Hassan, S.Z. On Modeling Hepatitis B Transmission Using Cellular Automata. Journal of Statistical Physics 92, 707–712 (1998). https://doi.org/10.1023/A:1023001007714

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023001007714

Search

Navigation