Dispersal, Individual Movement and Spatial Ecology A Mathematical Perspective

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Mark A. Lewis, Philip K. Maini, Sergei V. Petrovskii Springer 2013
Part I Individual Animal Movement Stochastic Optimal Foraging Theory .......................................... 3 Frederic Bartumeus, Ernesto P. Raposo, Gandhi M. Viswanathan, and Marcos G.E. da Luz Levy or Not? Analysing Positional Data from Animal ´ Movement Paths.................................................................. 33 Michael J. Plank, Marie Auger-Meth ´ e, and Edward A. Codling ´ Beyond Optimal Searching: Recent Developments in the Modelling of Animal Movement Patterns as Levy Walks ´

Part I Individual Animal Movement Stochastic Optimal Foraging Theory .......................................... 3 Frederic Bartumeus, Ernesto P. Raposo, Gandhi M. Viswanathan, and Marcos G.E. da Luz Levy or Not? Analysing Positional Data from Animal ´ Movement Paths.................................................................. 33 Michael J. Plank, Marie Auger-Meth ´ e, and Edward A. Codling ´ Beyond Optimal Searching: Recent Developments in the Modelling of Animal Movement Patterns as Levy Walks ´ ............ 53 Andy Reynolds Part II From Individuals to Populations The Mathematical Analysis of Biological Aggregation and Dispersal: Progress, Problems and Perspectives......................... 79 Hans G. Othmer and Chuan Xue Hybrid Modelling of Individual Movement and Collective Behaviour..... 129 Benjamin Franz and Radek Erban From Individual Movement Rules to Population Level Patterns: The Case of Central-Place Foragers ................................ 159 Hsin-Hua Wei and Frithjof Lutscher Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats ............................................................. 177 Thomas Hillen and Kevin J. Painter xiiixiv Contents Incorporating Complex Foraging of Zooplankton in Models: Role of Micro- and Mesoscale Processes in Macroscale Patterns ........... 223 Andrew Yu. Morozov Part III Populations, Communities and Ecosystems Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations............................... 263 Ying Zhou and Mark Kot Control of Competitive Bioinvasion ............................................ 293 Horst Malchow, Alex James, and Richard Brown Destruction and Diversity: Effects of Habitat Loss on Ecological Communities ..................................................... 307 Nick F. Britton Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation ........ 331 Vitaly Volpert and Vitali Vougalter Numerical Study of Pest Population Size at Various Diffusion Rates ...... 355 Natalia Petrovskaya, Nina Embleton, and Sergei V. Petrovskii

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