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
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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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
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