Abstract
IDE models naturally allow a certain temporal variation within a generation since they divide each generation into separate growth and dispersal phases. However, so far we have assumed that the growth phases in all generations are identical and that the same holds for the dispersal phases. In realistic environments, external conditions in subsequent generations may vary substantially so that growth and dispersal behavior could differ. In this chapter, we present some theory on and examples of how to formulate and analyze IDEs with a periodically or randomly varying growth function and dispersal kernel. In the periodic case, much of the previous theory for temporally constant environments can be applied to the period map. In the random case, even the formulation of the problem requires substantially different tools from the theory of stochastic processes. We focus again on the two fundamental questions of population persistence and spread.
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Lutscher, F. (2019). Temporal Variation. In: Integrodifference Equations in Spatial Ecology. Interdisciplinary Applied Mathematics, vol 49. Springer, Cham. https://doi.org/10.1007/978-3-030-29294-2_16
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DOI: https://doi.org/10.1007/978-3-030-29294-2_16
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