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

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, e...

Descripción completa

Detalles Bibliográficos
Autores principales: King-Yeung Lam, Shuang Liu, Yuan Lou
Formato: Artículo
Lenguaje:English
Publicado: Western Libraries 2020-05-01
Colección:Mathematics in Applied Sciences and Engineering
Acceso en línea:https://ojs.lib.uwo.ca/index.php/mase/article/view/10644
Descripción
Sumario: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.
ISSN:2563-1926