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A Predator–Prey Model with Genetics: Transition to a Self-Organized Critical State

Author

Listed:
  • Tane S. Ray

    (American Technology Center, Holovision Systems, Inc., 119 S. Main St., Findlay, OH 45840, USA)

  • Leo Moseley

    (Physics Department, University of the West Indies, Cave Hill Campus, Bridgetown, Barbados)

  • Naeem Jan

    (Physics Department, St. Francis Xavier University, Antigonish, Box 5000, Nova Scotia, Canada B2G 2W5, Canada)

Abstract

A two species predator–prey model based on the Lotka–Volterra equations is proposed, where the fitness of an individual animal depends upon the relative strength of its genes. Simulations of the model show that the system passes from the standard oscillatory solution of the Lotka–Volterra equations into a steady-state regime, which exhibits many of the characteristics of self-organized criticality, including a1/fpower spectrum.

Suggested Citation

  • Tane S. Ray & Leo Moseley & Naeem Jan, 1998. "A Predator–Prey Model with Genetics: Transition to a Self-Organized Critical State," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(05), pages 701-710.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:05:n:s0129183198000601
    DOI: 10.1142/S0129183198000601
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