Cressman R, Dash A T, Akin E
J Math Biol. 1986;23(2):221-30. doi: 10.1007/BF00276958.
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.
长期以来，物种间的竞争一直通过基于每个物种总数的种群动态来建模。最近，策略频率的演变已成功用于个体间的竞争模型。在本文中，我们表明这两种竞争观点是兼容的。结果表明，个体内部和种间竞争的速率在很大程度上决定了种群动态。基于这种个体竞争方法，开发了针对单一共同资源的竞争模型和捕食者 - 猎物模型。特别是，一个共同进化的捕食者 - 猎物系统中的平衡策略被证明比标准进化博弈论预测的策略循环更稳定。
