Invasive competition with Fokker-Planck diffusion and noise
Populations and Evolution
2017-10-12 v1
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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Cite
@article{arxiv.1611.10091,
title = {Invasive competition with Fokker-Planck diffusion and noise},
author = {Michael Bengfort and Ivo Siekmann and Horst Malchow},
journal= {arXiv preprint arXiv:1611.10091},
year = {2017}
}
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10 pages