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Selected topics on reaction-diffusion-advection models from spatial ecology

Published 16 Apr 2020 in math.AP | (2004.07978v2)

Abstract: We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution of organisms in spatially heterogeneous environments. Topics include Lokta-Volterra competition models, river models, evolution of biased movement, phytoplankton growth, and spatial spread of epidemic disease. Open problems and conjectures are presented.

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