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• W4290658082 abstract "We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal dispersal behavior is favored. In particular, we consider the linearization of a biological system that models the interaction of two biological species, one with local and one with nonlocal dispersal, that are competing for the same resource. We give a simple, concrete example of resources for which the equilibrium with only the local population becomes linearly unstable. In a sense, this example shows that nonlocal strategies can become successful even in an environment in which purely local strategies are dominant at the beginning, provided that the resource is sufficiently sparse. Indeed, the example considered presents a high variance of the distribution of the dispersal, thus suggesting that the shortage of resources and their unbalanced supply may be some of the basic ingredients that favor nonlocal strategies." @default.
• W4290658082 created "2022-08-08" @default.
• W4290658082 creator A5051447816 @default.
• W4290658082 creator A5078447699 @default.
• W4290658082 date "2015-03-05" @default.
• W4290658082 modified "2023-10-16" @default.
• W4290658082 title "Is a nonlocal diffusion strategy convenient for biological populations in competition?" @default.
• W4290658082 doi "https://doi.org/10.48550/arxiv.1503.01629" @default.
• W4290658082 hasPublicationYear "2015" @default.
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