Evolutionary Games and Two Species Population Dynamics

Abstract

Competition between species has long been modeled by population dynamics based on total numbers of each species. Recently, the evolution of strategy frequencies has been used successfully for competition models between individuals. In this paper, we illustrate that these two views of competition are compatible. It is shown that the rate of intra and interspecific competitions between individuals largely determines the population dynamics. Competition models over a single common resource and predator-prey models are developed from this individual competition approach. In particular, the equilibrium strategies in a co-evolving predator-prey system are shown to be more stable than the predicted strategy cycling of standard evolutionary game theory. © 1986 Springer-Verlag.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamical equations; Frequency independent; Global stability; Haploid species; Interspecific and intraspecific contests; Payoff matrices; Polymorphisms

International Standard Serial Number (ISSN)

1432-1416; 0303-6812

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2026 Springer, All rights reserved.

Publication Date

01 Feb 1986

PubMed ID

3958636

Link to Full Text

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