双群落网络中带有环境反馈的进化博弈动力学

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Katherine Betz, Feng Fu, Naoki Masuda
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引用次数: 0

摘要

生态进化模型的最新发展表明,行为策略与博弈互动环境之间不断演化的反馈会导致基本报酬矩阵的变化,从而以各种方式影响基本的种群动态。我们提出并分析了一个生态进化博弈动力学模型,该模型是在一个有两个社区的网络上建立的,即玩家以不同的速率与同一社区和相反社区的其他玩家进行互动。在我们的模型中,我们考虑的是两人矩阵博弈,配对互动发生在单个边上,并假设环境状态取决于边,而不是节点或在种群中全球共享。我们通过分析确定了对称种群结构假设下的均衡及其稳定性,并对一般模型的复制器动态进行了数值研究。该模型显示出丰富的动力学行为,如多重临界分岔、多稳定性和反同步振荡。我们的工作为理解群落结构的存在如何影响壁龛内部和壁龛之间的生态进化动态提供了启示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Evolutionary Game Dynamics with Environmental Feedback in a Network with Two Communities.

Evolutionary Game Dynamics with Environmental Feedback in a Network with Two Communities.

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying population dynamics in various manners. We propose and analyze an eco-evolutionary game dynamics model on a network with two communities such that players interact with other players in the same community and those in the opposite community at different rates. In our model, we consider two-person matrix games with pairwise interactions occurring on individual edges and assume that the environmental state depends on edges rather than on nodes or being globally shared in the population. We analytically determine the equilibria and their stability under a symmetric population structure assumption, and we also numerically study the replicator dynamics of the general model. The model shows rich dynamical behavior, such as multiple transcritical bifurcations, multistability, and anti-synchronous oscillations. Our work offers insights into understanding how the presence of community structure impacts the eco-evolutionary dynamics within and between niches.

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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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