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Species coexistence in spatial cyclic game of five species

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  • Zhong, Linwu
  • Zhang, Liming
  • Li, Haihong
  • Dai, Qionglin
  • Yang, Junzhong

Abstract

The evolutionary game of cyclic competition has been extensively studied to gain insight into one of the most fundamental phenomena in nature: biodiversity. The three-species Rock-Paper-Scissors (RPS) game and its extension Rock-Paper-Scissors-Lizard-Spock (RPSLS) game are typical models in this field. However, in real ecosystems, species richness can be easily influenced by the interaction structure among species. In this paper, we investigate species coexistence in modified RPSLS games by removing certain predator-prey interactions. We find that the interaction structure impacts the evolutionary dynamics and different interaction structures allow for different states of multi-species coexistence. We also find that the competition between different three-species-cyclic interactions is crucial for the realization of different asymptotic behaviors at low mobility. Our findings may be useful to understand the subtle effects of competitive structure on species coexistence and evolutionary game outcomes.

Suggested Citation

  • Zhong, Linwu & Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Species coexistence in spatial cyclic game of five species," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000170
    DOI: 10.1016/j.chaos.2022.111806
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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. Benjamin Kerr & Margaret A. Riley & Marcus W. Feldman & Brendan J. M. Bohannan, 2002. "Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors," Nature, Nature, vol. 418(6894), pages 171-174, July.
    3. 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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    1. Viswanathan, Karthik & Wilson, Ashly & Bhattacharyya, Sirshendu & Hens, Chittaranjan, 2024. "Ecological resilience in a circular world: Mutation and extinction in five-species ecosystems," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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