Population growth and persistence in a heterogeneous environment: the role of diffusion and advection

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dc.creatorRyabov, A. B.
dc.creatorBlasius, B.
dc.date2008-09-26
dc.date2008-11-18
dc.date.accessioned2026-07-07T10:18:37Z
dc.date.available2026-07-07T10:18:37Z
dc.descriptionThe spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical models, based on one dimensional reaction-diffusion-advection equations, for the growth of a population on a heterogeneous habitat. Considering a number of models of increasing complexity we investigate the often contrary roles of advection and diffusion for the persistence of the population. When it is possible we demonstrate basic mathematical techniques and give the critical conditions providing the survival of a population, in simple systems and in more complex resource-consumer models which describe the dynamics of phytoplankton in a water column.
dc.descriptionIntroductory review of simple conceptual models. 45 pages, 15 figures v2: minor changes
dc.identifierhttps://arxiv.org/abs/0809.4599
dc.identifierhttp://arxiv.org/abs/0809.4599
dc.identifierMath. Model. Nat. Phenom. Vol.3, 2008, pp.42-86
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174247
dc.subjectPopulations and Evolution
dc.titlePopulation growth and persistence in a heterogeneous environment: the role of diffusion and advection
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