Biological advection and cross-diffusion with parameter regimes

Jaywan Chung, Yong Jung Kim, Ohsang Kwon, Chang Wook Yoon

Research output: Contribution to journalArticle

Abstract

Advection and cross-diffusion terms are obtained as dispersal strategies of biological species. The focus of the paper is their connection to a given population dynamics. In particular, meaningful parameter regimes as biological dispersal are obtained. Eventually, we obtain a systematic approach to construct an advection or a cross-diffusion term from a given population dynamics and find meaningful parameter regimes as biological advection and cross-diffusion.

Original languageEnglish
Pages (from-to)1721-1744
Number of pages24
JournalAIMS Mathematics
Volume4
Issue number6
DOIs
StatePublished - 1 Jan 2019

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Keywords

  • Biological dispersal
  • Chemotaxis
  • Cross diffusion
  • Evolution of dispersal
  • Lotka-Volterra equations

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