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Fitness-based mobility enhances the maintenance of biodiversity in the spatial system of cyclic competition

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  • Huang, Wenting
  • Duan, Xiaofang
  • Qin, Lijuan
  • Park, Junpyo

Abstract

In ecosystems, species are willing to stay longer when they are in good environments and, in this regard, explaining biodiversity and understanding the relative effect of species’ behavior is a fundamental issue in ecological sciences. Staying or moving stands for the movement of the population, and mobility has been accepted as one of the important mechanisms in systems of cyclic competition. In this paper, we investigate the biodiversity in the system of cyclic competition when an individual’s mobility is affected by environmental fitness. We found that fitness-based mobility, which is defined by the ratio of the difference between predator and prey among species, can lead to the slow behavior of species when local fitness is higher than the average fitness and enhance the biodiversity of species. The fitness-based mobility behavior is successful in reducing the extinction probability on the lattice network. However, when the average degree of the network increases, the extinction probability increases significantly. In addition, when we consider the same model on heterogeneous networks, the extinction probability is always 1 regardless of the sensitivity to the fitness. The finding indicates that the heterogeneous network destroys species coexistence. Through extensive numerical investigations, we provided solid evidence supporting the great importance of fitness-based mobility in maintaining biodiversity. We further highlighted the significant relationship among fitness, the fraction of empty sites, and the tunable parameter by investigating the correlation that the relationship is not influenced by mobility.

Suggested Citation

  • Huang, Wenting & Duan, Xiaofang & Qin, Lijuan & Park, Junpyo, 2023. "Fitness-based mobility enhances the maintenance of biodiversity in the spatial system of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    • Handle: RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323003041
    DOI: 10.1016/j.amc.2023.128135
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    References listed on IDEAS

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    1. Vaissière, Anne-Charlotte & Quétier, Fabien & Calvet, Coralie & Levrel, Harold & Wunder, Sven, 2020. "Biodiversity offsets and payments for environmental services: Clarifying the family ties," Ecological Economics, Elsevier, vol. 169(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.
    4. Zou, Rongcheng & Duan, Xiaofang & Han, Zhen & Lu, Yikang & Ma, Kewei, 2023. "What information sources can prevent the epidemic: Local information or kin information?," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. Schreiber, Sebastian J. & Killingback, Timothy P., 2013. "Spatial heterogeneity promotes coexistence of rock–paper–scissors metacommunities," Theoretical Population Biology, Elsevier, vol. 86(C), pages 1-11.
    6. Park, Junpyo, 2018. "Balancedness among competitions for biodiversity in the cyclic structured three species system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 425-436.
    7. Mauro Mobilia & Alastair M. Rucklidge & Bartosz Szczesny, 2016. "The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games," Games, MDPI, vol. 7(3), pages 1-12, September.
    8. Zou, R. & Deng, Z. & Lu, Y. & Hu, J. & Han, Z., 2021. "Study of spreading phenomenon in network population considering heterogeneous property," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
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