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Predator interference and stability of predator-prey dynamics.

Lenka Přibylová1, Luděk Berec

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Predator interference can enhance predator-prey system stability. Strong interference leads to abrupt population increases and greater resilience, challenging previous models.

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Mathematical Biology

Background:

  • Predator interference, a decrease in consumption per predator with increased predator density, is theorized to stabilize predator-prey dynamics.
  • Existing models often show predator interference weakening the paradox of enrichment, preventing unstable population cycles.

Purpose of the Study:

  • To investigate predator-prey dynamics using a generalized predator-dependent functional response.
  • To explore how strong predator interference influences system stability beyond the paradox of enrichment.

Main Methods:

  • Utilized a Rosenzweig-MacArthur-like model with a novel predator-dependent functional response family.
  • Employed bifurcation analysis to examine system stability and dynamic behaviors.

Main Results:

  • Demonstrated that strong predator interference can introduce a new stabilizing mechanism.
  • Observed hysteresis and abrupt changes in prey and predator densities, leading to enhanced persistence and resilience.

Conclusions:

  • Predator interference, particularly strong interference, offers significant stabilizing effects on predator-prey systems.
  • Further experimental and data-fitting efforts are recommended to identify appropriate functional responses for real-world predation scenarios.