No Access

A PREDATOR–PREY MODEL BASED ON THE FULLY PARALLEL CELLULAR AUTOMATA

Department of Applied Mathematics, Dalian University of Technology, Center of Innovative Education and Practice of Dalian University of Technology, Dalian 116024, China

Search for more papers by this author

HONGBO RUAN

Department of Civil Engineering, Dalian University of Technology, Center of Innovative Education and Practice of Dalian University of Technology, Dalian 116024, China

Search for more papers by this author

, and

CHANGLIANG YU

Department of Automation, Dalian University of Technology, Center of Innovative Education and Practice of Dalian University of Technology, Dalian 116024, China

Search for more papers by this author

https://doi.org/10.1142/S0129183103005376Cited by:8 (Source: Crossref)

Abstract

We presented a predator–prey lattice model containing moveable wolves and sheep, which are characterized by Penna double bit strings. Sexual reproduction and child-care strategies are considered. To implement this model in an efficient way, we build a fully parallel Cellular Automata based on a new definition of the neighborhood. We show the roles played by the initial densities of the populations, the mutation rate and the linear size of the lattice in the evolution of this model.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

V. Volterra , Theorie Mathemathique de la Lutte pour la Vie ( Gauthier-Villars , Paris , 1931 ) . Google Scholar
A. J. Lotka, Proc. Natl. Acad. Sci. USA 6, 410 (1920). ADS, Google Scholar
J. D. Murray , Mathematical Biology ( Springer-Verlag , N.Y. , 1993 ) . Google Scholar
Z. Csahok and T. Vicsek, Phys. Rev. E 52, 5297 (1995). Web of Science, ADS, Google Scholar
I. Mroz, arXiv:physics/0301012, 8 January 2003 . Google Scholar
S. J. Feingold, Physica A 231, 499 (1996). Web of Science, ADS, Google Scholar
H. Puhl, D. Stauffer and S. Roux, Physica A 221, 445 (1995). Web of Science, ADS, Google Scholar
L. B. Kier, C.-K. Cheng and B. Testa, Fut. Gen. Comput. Sci. 16, 273 (1999). Web of Science, Google Scholar
M. Droz and A. Pekalski, Physica A 266, 016204 (2001). Google Scholar
A. F. Rozenfeld and E. V. Albano, Physica A 266, 322 (1999). Web of Science, ADS, Google Scholar
M. Droz and A. Pekalski, Phys. Rev. E 63, 0519009 (2001). Google Scholar
A. T. Bradshaw and L. L. Moseley, Physica A 261, 107 (1998). Web of Science, ADS, Google Scholar
M. Droz and A. Pekalski, Phys. Rev. E 63, 051909 (2001). Web of Science, Google Scholar
R. Salazar and A. P. J. Jansen, arXiv:nlin. CG/0207059, 30 July 2002 . Google Scholar
L. B. Kier, C.-K. Cheng and B. Testa, Fut. Gen. Comput. Syst. 16, 273 (1999). Web of Science, Google Scholar
G. D. Ruxton and L. A. Saravia, Ecological Modelling 107, 105 (1998). Web of Science, Google Scholar
N. Boccara, O. Roblin and M. Roger, Phys. Rev. E 50, 4531 (1994). Web of Science, ADS, Google Scholar
T. J. P. Penna, J. Stat. Phys. 78, 1629 (1995). Web of Science, ADS, Google Scholar
S. M. de Oliveira, D. Alves and J. S. Sa Martins, Physica A 285, 77 (2000). Web of Science, ADS, Google Scholar
A. Pekalski, Eur. Phys. J. B 13, 791 (2000). Web of Science, ADS, Google Scholar
A. Pekalski and K. Sznajd-Weron, Phys. Rev. E 63, 031903 (2001). Web of Science, Google Scholar
A. O. Sousa and S. M. de Oliveira, Eur. Phys. J. B 9, 365 (1999). Web of Science, ADS, Google Scholar
G. B. Ermentrout and L. Edelstein-Keshet, J. Theor. Biol. 160, 97 (1993). Web of Science, ADS, Google Scholar
B. Chopard and M. Droz , Cellular Automata Modeling of Physical Systems ( Cambridge University Press , Cambridge , 1998 ) . Google Scholar