Nonlinear eco-evolutionary games with global environmental fluctuations and local environmental feedbacks

• DOI: 10.1371/journal.pcbi.1011269
• Publication Date: 2023-06-28T17:37:44Z
• Authors: Yishen Jiang; Xin Wang; Longzhao Liu; Ming Wei; Jingwu Zhao; Zhiming Zheng; Shaoting Tang
• Keywords: Environmental change; Evolutionary Dynamics; Global environmental analysis

Environmental changes play a critical role in determining the evolution of social dilemmas many natural or systems. Generally, environmental include two prominent aspects: global time-dependent fluctuations and local strategy-dependent feedbacks. However, impacts these types have only been studied separately, complete picture effects exerted by combination aspects remains unclear. Here we develop theoretical framework that integrates group strategic behaviors with their general dynamic environments, where are associated nonlinear factor public goods game feedbacks described ‘eco-evolutionary game’. We show how coupled dynamics game-environment differ static environments. In particular, find emergence cyclic cooperation environment, which forms an interior irregular loop phase plane, depending on relative changing speed both environments compared to change. Further, observe this disappears transforms into stable equilibrium when environment is frequency-dependent. Our results provide important insights diverse evolutionary outcomes could emerge from interactions between strategies