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Conjugate coupling in ecosystems: Cross-predation stabilizes food webs

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  • Karnatak, Rajat
  • Ramaswamy, Ram
  • Feudel, Ulrike

Abstract

We study the dynamics of two predator–prey systems that are coupled via cross-predation, in which each predator consumes also the other prey. This setup constitutes a model system in which conjugate coupling emerges naturally and denotes the transition from two separate food chains to a food web. We show that cross-predation of a certain strength leads to amplitude death stabilizing the food web in a new equilibrium.

Suggested Citation

  • Karnatak, Rajat & Ramaswamy, Ram & Feudel, Ulrike, 2014. "Conjugate coupling in ecosystems: Cross-predation stabilizes food webs," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 48-57.
    • Handle: RePEc:eee:chsofr:v:68:y:2014:i:c:p:48-57
    DOI: 10.1016/j.chaos.2014.07.003
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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Elisa Benincà & Jef Huisman & Reinhard Heerkloss & Klaus D. Jöhnk & Pedro Branco & Egbert H. Van Nes & Marten Scheffer & Stephen P. Ellner, 2008. "Chaos in a long-term experiment with a plankton community," Nature, Nature, vol. 451(7180), pages 822-825, February.
    3. Charles H. Anderton, 2003. "Conflict and Trade in a Predator/Prey Economy," Review of Development Economics, Wiley Blackwell, vol. 7(1), pages 15-29, February.
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    2. Thounaojam, Umeshkanta Singh & Shrimali, Manish Dev, 2018. "Phase-flip in relay oscillators via linear augmentation," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 5-12.
    3. Chen, XinYue & Li, Fan & Liu, Shuai & Zou, Wei, 2023. "Emergent behavior of conjugate-coupled Stuart–Landau oscillators in directed star networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
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    6. Biswas, Dhrubajyoti & Gupta, Sayan, 2024. "Symmetry-breaking higher-order interactions in coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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