Invasive competition with Fokker-Planck diffusion and noise
arXiv:1611.10091 · doi:10.1016/j.ecocom.2017.09.001
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.
10 pages