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Evolutionary dynamics of the island model with stochastic resetting

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Abstract

We study the evolutionary dynamics of the island model which consists of populations confined to two islands with stochastic resetting. The populations on islands follow the evolutionary dynamics. They reproduce according to their fitnesses, die at random, and migrate between two islands. In addition to the evolutionary dynamics, we introduce the stochastic resetting process in the dynamics, by which the state of the system is reset to a certain specified state at constant rate. Without resetting, it has been shown that there is a continuous phase transition in the subpopulations as the migration rate increases. When the system is reset stochastically, depending on the reset state and the resetting rate, the subpopulation distribution of a certain species exhibits a maximum at a nontrivial value of the resetting rate, whereas the continuous phase transition disappears for any non-vanishing value of the resetting rate.

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Acknowledgements

YGK was supported by a Hanshin University research grant. JMP was supported by the Basic Science Research Program through the National Research Foundation of Korea (Grant No. NRF-2022R1F1A1063639).

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Authors and Affiliations

  1. School of Computer Engineering, Hanshin University, Osan, 18101, Korea

    Yung-Gyung Kang

  2. Department of Physics, The Catholic University of Korea, Bucheon, 14662, Korea

    Jeong-Man Park

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  1. Yung-Gyung Kang
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  2. Jeong-Man Park
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Correspondence to Jeong-Man Park.

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Kang, YG., Park, JM. Evolutionary dynamics of the island model with stochastic resetting. J. Korean Phys. Soc. 81, 1274–1279 (2022). https://doi.org/10.1007/s40042-022-00654-0

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  • DOI: https://doi.org/10.1007/s40042-022-00654-0

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