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Biological advection and cross-diffusion with parameter regimes

1 Thermoelectric Conversion Research Center, Korea Electrotechnology Research Institute, 12, Bulmosan-ro 10 beon-gil, Changwon-si, Gyeongsangnam-do, 51543, Korea
2 Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong, Daejeon 305-701, Korea
3 Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk 362-763, Korea
4 College of Science & Technology, Korea University, Sejong 30019, Republic of Korea

Special Issues: Applied and Industrial Mathematics in Canada and Worldwide

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 biolog
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Keywords cross diffusion; chemotaxis; biological dispersal; Lotka-Volterra equations; evolution of dispersal

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

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