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Adaptive behaviour and multiple equilibrium states in a predator–prey model

Author

Listed:
  • Pimenov, Alexander
  • Kelly, Thomas C.
  • Korobeinikov, Andrei
  • O’Callaghan, Michael J.A.
  • Rachinskii, Dmitrii

Abstract

There is evidence that multiple stable equilibrium states are possible in real-life ecological systems. Phenomenological mathematical models which exhibit such properties can be constructed rather straightforwardly. For instance, for a predator–prey system this result can be achieved through the use of non-monotonic functional response for the predator. However, while formal formulation of such a model is not a problem, the biological justification for such functional responses and models is usually inconclusive.

Suggested Citation

  • Pimenov, Alexander & Kelly, Thomas C. & Korobeinikov, Andrei & O’Callaghan, Michael J.A. & Rachinskii, Dmitrii, 2015. "Adaptive behaviour and multiple equilibrium states in a predator–prey model," Theoretical Population Biology, Elsevier, vol. 101(C), pages 24-30.
    • Handle: RePEc:eee:thpobi:v:101:y:2015:i:c:p:24-30
    DOI: 10.1016/j.tpb.2015.02.004
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    Cited by:

    1. Pfab, Ferdinand & Diekmann, Odo & Bhattacharya, Souvik & Pugliese, Andrea, 2017. "Multiple coexistence equilibria in a two parasitoid-one host model," Theoretical Population Biology, Elsevier, vol. 113(C), pages 34-46.
    2. Adhikary, Prabir Das & Mukherjee, Saikat & Ghosh, Bapan, 2021. "Bifurcations and hydra effects in Bazykin’s predator–prey model," Theoretical Population Biology, Elsevier, vol. 140(C), pages 44-53.

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