Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection
A. B. Ryabov, B. Blasius (2008)
Mathematical Modelling of Natural Phenomena
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The 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...