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Ecological resilience in a circular world: Mutation and extinction in five-species ecosystems

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  • Viswanathan, Karthik
  • Wilson, Ashly
  • Bhattacharyya, Sirshendu
  • Hens, Chittaranjan

Abstract

In an ecosystem comprising coexisting species, mutations frequently occur. These mutations can be induced by various factors such as errors in DNA replication and exposure to chemicals. They constitute an intrinsic element of species evolution. This study investigates the impact of mutations on ecosystems, employing Gillespie simulations and the formulation of the First-passage extinction problem to assess their effects and examine extinction events. Our findings suggest first-extinction time and state distribution in a system with mutation follows intriguing behavior which promotes co-existence. There also exists a depression in the state space post which mutation extends the first-extinction time. Moreover, a system devoid of mutation exhibits a discernible inclination towards probabilities that lean in the direction of an endangered state space.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000997
    DOI: 10.1016/j.chaos.2024.114548
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    References listed on IDEAS

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    1. 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).
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    3. 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).
    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.
    5. Weini Huang & Bernhard Haubold & Christoph Hauert & Arne Traulsen, 2012. "Emergence of stable polymorphisms driven by evolutionary games between mutants," Nature Communications, Nature, vol. 3(1), pages 1-7, January.
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