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arXiv · 1611.10091

Invasive competition with Fokker-Planck diffusion and noise

Michael Bengfort·Ivo Siekmann·Horst Malchow
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Abstract

Defeat and success of the competitive invasion of a populated area is described with a standard Lotka-Volterra competition model. The resident is adapted to the heterogeneous living conditions, i.e., its motion is modelled as space-dependent, so-called Fokker-Planck diffusion. The invader's diffusion is taken as neutral Fickian. Furthermore, it is studied how multiplicative environmental noise fosters or hinders the invasion.

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Michael Bengfort, Ivo Siekmann, Horst Malchow. 2016-11-30. Invasive competition with Fokker-Planck diffusion and noise. https://doi.org/10.1016/j.ecocom.2017.09.001

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