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• W2055791322 abstract "While reaction–diffusion equations are the standard modelling framework for many questions in spatial ecology, their nonlocal analogues, integrodifferential equations, have gained in popularity recently. Here we consider integrodifferential equations for population spread and persistence in heterogeneous landscapes, and we develop appropriate averaging methods for these models. We average over landscape and patch scales. While averaging methods for reaction–diffusion equations lead to relatively simple expressions of persistence conditions and invasion speeds, we find that the results are much richer and more complicated for integro-differential equations. We illustrate our results with two dispersal mechanisms: (1) individuals are mobile throughout their lifetime and (2) only offspring move." @default.
• W2055791322 created "2016-06-24" @default.
• W2055791322 creator A5004094166 @default.
• W2055791322 date "2010-07-01" @default.
• W2055791322 modified "2023-09-29" @default.
• W2055791322 title "Nonlocal dispersal and averaging in heterogeneous landscapes" @default.
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• W2055791322 doi "https://doi.org/10.1080/00036811003735816" @default.
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