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Role of adaptive intraspecific competition on collective behavior in the rock–paper–scissors game

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  • Park, Junpyo
  • Jang, Bongsoo

Abstract

Density-dependent selection is a universal feature in the evolution of populations, and such an adaptive behavior can change the survival strategy of species during evolution. In this paper, we investigate the role of adaptive behavior in biodiversity in the system of cyclic competition. By incorporating a density-dependent mechanism into intraspecific competition, which is well-known as a key mechanism leading to biodiversity, we studied how such adaptive intraspecific competition can affect biodiversity and collective behavior during the evolution of cyclically competing species. Microscopically, we found that species can coexist strongly and are spirally entangled or collectively united by presenting two distinct pattern formations on spatially extended systems. While the adaptive mechanism can always promote species coexistence in a mean-field manner for particular sensitivity to the group scale, corresponding spatial dynamics exhibit nonmonotonic features for the robustness of extinction at moderately high mobility regime over the critical mobility when the associated mean-field system exhibits asymptotically stable heteroclinic cycles. The findings can shed light on a new aspect of the collective behavior of coexisting populations which may indicate the possibility of changing the survival strategies of each group to maintain the coexistence of cyclically competing populations.

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  • Park, Junpyo & Jang, Bongsoo, 2023. "Role of adaptive intraspecific competition on collective behavior in the rock–paper–scissors game," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003491
    DOI: 10.1016/j.chaos.2023.113448
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    References listed on IDEAS

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    1. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Feng, Sha-Sha & Qiang, Cheng-Cang, 2013. "Self-organization of five species in a cyclic competition game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4675-4682.
    3. Kang, Yibin & Pan, Qiuhui & Wang, Xueting & He, Mingfeng, 2013. "A golden point rule in rock–paper–scissors–lizard–spock game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2652-2659.
    4. Tobias Reichenbach & Mauro Mobilia & Erwin Frey, 2007. "Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games," Nature, Nature, vol. 448(7157), pages 1046-1049, August.
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    Cited by:

    1. Duan, Xiaofang & Ye, Jimin & Lu, Yikang & Du, Chunpeng & Jang, Bongsoo & Park, Junpyo, 2024. "Does cooperation among conspecifics facilitate the coexistence of species?," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Wang, Xianjia & Liu, Ke & Yang, Zhipeng, 2025. "Strategy evolution of network conformists and rational imitators in the rock–paper–scissors game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    3. Cliff, Dave, 2025. "On long-term species coexistence in five-species evolutionary spatial cyclic games with ablated and non-ablated dominance networks," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    4. Kang, Ju & Zhang, Shijie & Niu, Yiyuan & Zhong, Fan & Wang, Xin, 2024. "Self-organized biodiversity in biotic resource systems through pairwise encounters," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    5. Lu, Yikang & Dai, Hui & Tan, Huaiyu & Duan, Xiaofang & Shi, Lei & Park, Junpyo, 2025. "Enhancement of persistence in the rock-paper-scissors dynamics through higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 487(C).

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