Research article Special Issues

Biological advection and cross-diffusion with parameter regimes

  • Received: 17 October 2018 Accepted: 27 November 2019 Published: 23 December 2019
  • MSC : 35K57, 35Q92

  • 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.

    Citation: Jaywan Chung, Yong-Jung Kim, Ohsang Kwon, Chang-Wook Yoon. Biological advection and cross-diffusion with parameter regimes[J]. AIMS Mathematics, 2019, 4(6): 1721-1744. doi: 10.3934/math.2019.6.1721

    Related Papers:

  • 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.



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