Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology

Autor: King-Yeung Lam, Shuang Liu, Yuan Lou
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics in Applied Sciences and Engineering, Vol 1, Iss 2, Pp 150-180 (2020)
Druh dokumentu: article
ISSN: 2563-1926
DOI: 10.5206/mase/10644
Popis: 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, phytoplanktongrowth, and spatial spread of epidemic disease. Open problems and conjectures are presented.P arts of this survey are adopted from the materials in [89,108,109], and some very recent progress are also included.
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