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Titlebook: Dispersal, Individual Movement and Spatial Ecology; A Mathematical Persp Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii Book 2013 Sprin

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https://doi.org/10.1007/978-3-642-35497-7Biological invasion; Dispersal; Hybrid modelling; M31000, M13003, L19147, L19007, M13090, M14068; Patter
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978-3-642-35496-0Springer-Verlag Berlin Heidelberg 2013
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Mark A. Lewis,Philip K. Maini,Sergei V. PetrovskiiIncludes supplementary material:
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Shifting Urban Dynamics: An Overview,ve uniformly random directions and lengths drawn from a probability distribution that is heavy-tailed. This idea has generated a huge amount of interest, with numerous studies providing empirical evidence in support of the hypothesis and others criticising some of the methods employed in these. The
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https://doi.org/10.1007/978-3-319-01089-283) proposed that they can be observed in the movement patterns of foraging ants. The fractal and superdiffusive properties of Lévy walks can be advantageous when searching for randomly and sparsely distributed resources, prompting the suggestion that Lévy walks represent an evolutionary optimal sea
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Bread, Tortillas, and Sandwiches, danger. In populations of individuals this often this leads to large-scale pattern formation in the form of coherent movement or localized aggregates of individuals, and an important question is how the individual-level decisions are translated into population-level behavior. Mathematical models ar
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Spectral Analysis and the Telluric Lines,lution of population-level variables (concentrations, densities). A more detailed modelling approach is given by individual-based (agent-based) models which describe the behaviour of each organism. In recent years, an intermediate modelling methodology—hybrid modelling—has been applied to a number o
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The Atomic Energy Commission under Nixonas a random walk. The model consists of a discrete map between generations and a partial differential equation within a season. We determine analytically the conditions under which the consumer can stay in the system. We then explore numerically how different assumptions on the foraging strategy aff
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