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Wave pinning in competition-diffusion models in variable environments.

M C Köhnke1, H Malchow1

  • 1Institute of Environmental Systems Research, School of Mathematics/Computer Science, Osnabrück University, Barbarastraße 12, Osnabrück 49076, Germany.

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Summary
This summary is machine-generated.

Environmental noise can halt or reverse biological invasions in two-species competition models. This study reveals how noise intensity and functional responses influence invasion dynamics, impacting ecological spread.

Keywords:
Allee effectEnvironmental noisePropagation failureReaction-diffusion models

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Diffusive fronts in ecological models describe population spread.
  • Two-species competition models are crucial for understanding ecological interactions.
  • Environmental noise can significantly impact population dynamics and invasion success.

Purpose of the Study:

  • To investigate conditions for propagation failure in diffusive fronts.
  • To analyze the stability of two-species competition models against environmental perturbations.
  • To explore the effects of different noise intensity dependencies on invasion dynamics.

Main Methods:

  • Numerical simulations of two-species competition models.
  • Analysis of population dynamics under logistic growth and Allee effect.
  • Modeling environmental noise with varying density dependencies.

Main Results:

  • Propagation failure can emerge in diffusive fronts under specific conditions.
  • Stochastic wave pinning occurs with linearly density-dependent noise intensities.
  • Environmental perturbations can reduce invasion speed, potentially reversing invasion waves.

Conclusions:

  • The form of the functional per-capita noise response is critical for invasion dynamics.
  • Environmental noise poses a significant factor in biological invasion success.
  • Understanding noise effects is vital for predicting and managing invasive species.