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

Tane S. Ray, Leo Moseley and Naeem Jan ()
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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

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 05, 701-710

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.

Keywords: Self-Organized Criticality; Lotka–Volterra Equations; Predator–Prey Model; Genetics; Evolution (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000601

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