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COMPLEX BEHAVIOR OF A PREDATOR-PREY MODEL WITH DISCRETE GENOTYPE

S. G. F. Martins, A. T. Costa, Júlio S. S. Bueno Filho and T. J. P. Penna
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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

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 06, 807-817

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.

Keywords: Population Dynamics; Predator-Prey; Lotka–Volterra Dynamics; Co-evolution (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001997

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