Two-dimensional models of human dispersals: Tracking reaction-diffusion fronts on heterogeneous surfaces

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Authors: Silva, F. and Steele, J.

Pages: 416-430

ISBN: 9781482226812

DOI: 10.1201/b18530

© 2015 by Taylor & Francis Group, LLC. Reaction-diffusion models are often used to describe the spatial and temporal dynamics of populations under the influence of natural or cultural selection (where a species, gene, or cultural innovation expands its geographical range, typically because of some advantage over competitors in the means of capturing energy and converting it into a larger population size through self-reproduction, e.g., Murray 2002, 2003, Okubo and Levin 2001, Kandler and Steele 2009). In ecology they provide a way of translating assumptions or data about movement, mortality, and reproduction of individuals, at a local scale, into global conclusions about the persistence or extinction of populations and the coexistence of interacting populations (Cantrell and Cosner 2003).

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