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arXiv · 2004.07978

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

King-Yeung Lam·Shuang Liu·Yuan Lou
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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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King-Yeung Lam, Shuang Liu, Yuan Lou. 2020-05-17. Selected topics on reaction-diffusion-advection models from spatial ecology. https://doi.org/10.1109/77.107399

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