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Evolutionary dynamics from fluctuating environments with deterministic and stochastic noises

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Abstract

Uncertainty is ubiquitous and has a significant impact on individuals’ actions. Inspired by the reality, this paper considers a population affected by changing evolutionary environments with both payoff noise and demographic noise. Meanwhile, we discuss two different types of changing environments, one with deterministic fluctuations and the other with stochastic fluctuations. To explore how changing environments influence the dynamics of cooperation, we first build a theoretical model, which introduces a geometric mean instead of an arithmetic mean of growth rate to present a time-dependent performance of cooperation. Through simulation results, we find that a fluctuating environment with the two noises is beneficial for promoting cooperation, and a deterministic environment is better at promoting cooperation than a stochastic environment. Besides, both deterministic and stochastic fluctuations can make the cooperative species get a higher payoff than the defective species, which is the cause of cooperation promotion. Moreover, in an environment with stochastic noises, the type of time-dependent noise distribution has little impact on evolutionary dynamics. In addition, a high noise variance is beneficial for promoting cooperation, but not for maintaining cooperation.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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Acknowledgements

This paper is supported by the National Natural Science Foundation of China (Nos. 71871173, 72031009, 71871171), Chinese National Funding of Social Sciences (No.20&ZD058), and the Fundamental Research Funds for the Central Universities (WUT: 2022IVA131, 2021III036JC).

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Authors and Affiliations

  1. School of Management, Wuhan University of Technology, Wuhan, 430070, People’s Republic of China

    Wenman Chen & Ji Quan

  2. Economics and Management School, Wuhan University, Wuhan, 430072, People’s Republic of China

    Xianjia Wang & Yang Liu

  3. Wuhan Univ, Zhongnan Hosp of Wuhan University, Wuhan, 430071, People’s Republic of China

    Yang Liu

  4. School of Management, Wuhan University of Technology, Wuhan, 430071, People’s Republic of China

    Wenman Chen

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  1. Wenman Chen
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  2. Ji Quan
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Correspondence to Wenman Chen.

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Chen, W., Quan, J., Wang, X. et al. Evolutionary dynamics from fluctuating environments with deterministic and stochastic noises. Nonlinear Dyn 111, 5499–5511 (2023). https://doi.org/10.1007/s11071-022-08067-1

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  • DOI: https://doi.org/10.1007/s11071-022-08067-1

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