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Complex Behavior Of A Predator-Prey Model With Discrete Genotype

Author

Listed:
  • S. G. F. MARTINS

    (Universidade Estadual de Minas Gerais, 37200-000 Lavras — MG, Brazil)

  • A. T. COSTA

    (Depto. de Ciências Exatas, Universidade Federal de Lavras, 37200-000 Lavras — MG, Brazil)

  • JÚLIO S. S. BUENO FILHO

    (Depto. de Ciências Exatas, Universidade Federal de Lavras, 37200-000 Lavras — MG, Brazil)

  • T. J. P. PENNA

    (Instituto de Física, Universidade Federal Fluminense, 24210-340 Niterói — RJ, Brazil)

Abstract

Inspired by the work of Rayet al., we study a model of predator-prey dynamics that incorporates the effects of a discrete genotype. We thoroughly analyze the many features of the model, and show that the system seems to reach a critical state in the genotype space, with some evidence of self-organization. Our results present the effects of natural selection at work in genotype space. The presence of the discrete genotype seems to make the model more robust to small variations of the main parameters, when compared to the bare Lotka–Volterra dynamics.

Suggested Citation

  • S. G. F. Martins & A. T. Costa & Júlio S. S. Bueno Filho & T. J. P. Penna, 2001. "Complex Behavior Of A Predator-Prey Model With Discrete Genotype," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(06), pages 807-817.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:06:n:s0129183101001997
    DOI: 10.1142/S0129183101001997
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