School of Computation, Information and Technology, Department of Mathematics, Technical University of Munich, 85748 Garching, Germany; Comprehensive Pneumology Center (CPC)/Institute of Lung Health and Immunity (LHI), Helmholtz Center Munich, 81377 Munich, Germany.
School of Computation, Information and Technology, Department of Mathematics, Technical University of Munich, 85748 Garching, Germany; Institute for Computational Biology, Helmholtz Center Munich, 85764 Neuherberg, Germany.
Math Biosci. 2023 Nov;365:109076. doi: 10.1016/j.mbs.2023.109076. Epub 2023 Sep 15.
We investigate the evolutionary dynamics of an age-structured population subject to weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified replicator equation is then used to investigate cooperation (the prisoner's dilemma) by means of adaptive dynamics. We identify conditions under which age structure is able to promote cooperation. At the end we discuss the relevance of our findings.
我们研究了一个受到弱频率相关选择的年龄结构种群的进化动态。结果表明，弱选择受到生命史特征的非平凡影响。我们根据不同时间尺度的出现来分解动力学。这些时间尺度似乎在弱选择和生命史特征的相互作用中形成了一种普遍的结构，使我们能够将无限维模型简化为一个一维的修正复制者方程。然后，我们使用修正的复制者方程通过自适应动力学来研究合作（囚徒困境）。我们确定了年龄结构能够促进合作的条件。最后，我们讨论了我们的发现的相关性。
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