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Invasion front dynamics in disordered environments.

Youness Azimzade1, Mahdi Sasar2, Iraj Maleki2

  • 1Department of Physics, University of Tehran, 14395-547, Tehran, Iran. younessazimzade@gmail.com.

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|October 27, 2020
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This summary is machine-generated.

Environmental disorder slows invasion velocity and introduces front fluctuations. These findings, derived from Fisher

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Area of Science:

  • Mathematical Biology
  • Physics
  • Ecology

Background:

  • Invasion dynamics are typically studied in homogeneous environments.
  • The impact of spatial disorder on invasion front dynamics remains poorly understood.

Purpose of the Study:

  • To investigate the effects of environmental disorder on invasion dynamics using Fisher's equation.
  • To analyze both the velocity and fluctuations of invasion fronts in disordered media.

Main Methods:

  • Analytical methods: Effective Medium Approximation and perturbative approach.
  • Numerical simulations using Fisher's equation.
  • Discrete modeling using the Stepping Stone Model.

Main Results:

  • Environmental disorder significantly reduces invasion velocity.
  • Disorder induces Brownian fluctuations on the invasion front.
  • Disorder effects are more pronounced in discrete models at high intensities or carrying capacities.

Conclusions:

  • Spatial disorder is a critical factor influencing invasion dynamics.
  • Continuum and discrete models provide complementary insights into invasion processes.
  • Understanding disorder effects is crucial for predicting invasion spread in complex environments.