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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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The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectiv 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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From Individual Movement Rules to Population Level Patterns: The Case of Central-Place Foragersas 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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Incorporating Complex Foraging of Zooplankton in Models: Role of Micro- and Mesoscale Processes in Mraging behavior of individuals constituting those populations. A notable example is the modelling of planktonic food chains where the foraging behavior of herbivorous zooplankton is often complicated and involves active vertical displacement (migration) in the water column with the aim of optimizing
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Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equatio habitat in order to assess the impact of climate change on persistence. We apply this model to butterflies and show that over-dispersal and under-dispersal can both lead to extinction. We focus on the critical range-shift speed (for extinction), survey numerical methods for determining this speed,
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