English

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

Analysis of PDEs 2020-07-08 v2

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.

Keywords

Cite

@article{arxiv.2004.07978,
  title  = {Selected topics on reaction-diffusion-advection models from spatial ecology},
  author = {King-Yeung Lam and Shuang Liu and Yuan Lou},
  journal= {arXiv preprint arXiv:2004.07978},
  year   = {2020}
}
R2 v1 2026-06-23T14:54:37.128Z