# Success rate of a biological invasion in terms of the spatial distribution of the founding population

@article{Garnier2012SuccessRO, title={Success rate of a biological invasion in terms of the spatial distribution of the founding population}, author={Jimmy Garnier and Lionel Roques and François Hamel}, journal={Bulletin of Mathematical Biology}, year={2012}, volume={74}, pages={453-473} }

We analyze the role of the spatial distribution of the initial condition in reaction–diffusion models of biological invasion. Our study shows that, in the presence of an Allee effect, the precise shape of the initial (or founding) population is of critical importance for successful invasion. Results are provided for one-dimensional and two-dimensional models. In the one-dimensional case, we consider initial conditions supported by two disjoint intervals of length L/2 and separated by a distance…

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