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Evolutionary games and two species population dynamics.

R Cressman, A T Dash, E Akin

    Journal of Mathematical Biology
    |January 1, 1986
    PubMed
    Summary
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    This study reconciles population dynamics and evolutionary game theory in species competition. Individual competition rates determine population dynamics, leading to more stable predator-prey equilibria than previously predicted.

    Area of Science:

    • Ecology
    • Evolutionary Biology
    • Mathematical Biology

    Background:

    • Traditional species competition models rely on population numbers.
    • Recent approaches utilize evolutionary strategy frequencies for individual competition.
    • A gap exists in reconciling these two modeling perspectives.

    Purpose of the Study:

    • To demonstrate the compatibility of population dynamics and individual-based evolutionary strategy models.
    • To develop new competition models from an individual competition framework.
    • To analyze predator-prey systems using this integrated approach.

    Main Methods:

    • Modeling intra- and interspecific competition rates at the individual level.
    • Developing competition models for a single common resource.

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  • Constructing predator-prey models based on individual competition dynamics.

    • Main Results:

    • Individual competition rates were shown to significantly influence population dynamics.
    • The individual competition approach successfully models single-resource competition and predator-prey interactions.
    • Equilibrium strategies in co-evolving predator-prey systems exhibit enhanced stability compared to standard models.

    Conclusions:

    • Population dynamics and evolutionary game theory are compatible through individual-level competition.
    • The individual competition framework provides a robust foundation for ecological modeling.
    • This approach offers new insights into the stability of co-evolving systems.