Biological advection and cross-diffusion with parameter regimes

Biological advection and cross-diffusion with parameter regimes

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...

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Main Authors: Jaywan Chung, Yong-Jung Kim, Ohsang Kwon, Chang-Wook Yoon
Format: Article
Language:English
Published: AIMS Press 2019-12-01
Series:AIMS Mathematics
Subjects:
cross diffusion
chemotaxis
biological dispersal
lotka-volterra equations
evolution of dispersal
Online Access:https://www.aimspress.com/article/10.3934/math.2019.6.1721/fulltext.html
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spelling doaj-8e7401e33e8f43fa839f07e006026fe42020-11-25T01:49:25ZengAIMS PressAIMS Mathematics2473-69882019-12-01461721174410.3934/math.2019.6.1721Biological advection and cross-diffusion with parameter regimesJaywan Chung0Yong-Jung Kim1Ohsang Kwon2Chang-Wook Yoon31 Thermoelectric Conversion Research Center, Korea Electrotechnology Research Institute, 12, Bulmosan-ro 10 beon-gil, Changwon-si, Gyeongsangnam-do, 51543, Korea2 Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong, Daejeon 305-701, Korea3 Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk 362-763, Korea4 College of Science & Technology, Korea University, Sejong 30019, Republic of KoreaAdvection 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 biologhttps://www.aimspress.com/article/10.3934/math.2019.6.1721/fulltext.htmlcross diffusionchemotaxisbiological dispersallotka-volterra equationsevolution of dispersal
collection DOAJ
language English
format Article
sources DOAJ
author Jaywan Chung
Yong-Jung Kim
Ohsang Kwon
Chang-Wook Yoon
spellingShingle Jaywan Chung
Yong-Jung Kim
Ohsang Kwon
Chang-Wook Yoon
Biological advection and cross-diffusion with parameter regimes
AIMS Mathematics
cross diffusion
chemotaxis
biological dispersal
lotka-volterra equations
evolution of dispersal
author_facet Jaywan Chung
Yong-Jung Kim
Ohsang Kwon
Chang-Wook Yoon
author_sort Jaywan Chung
title Biological advection and cross-diffusion with parameter regimes
title_short Biological advection and cross-diffusion with parameter regimes
title_full Biological advection and cross-diffusion with parameter regimes
title_fullStr Biological advection and cross-diffusion with parameter regimes
title_full_unstemmed Biological advection and cross-diffusion with parameter regimes
title_sort biological advection and cross-diffusion with parameter regimes
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2019-12-01
description 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
topic cross diffusion
chemotaxis
biological dispersal
lotka-volterra equations
evolution of dispersal
url https://www.aimspress.com/article/10.3934/math.2019.6.1721/fulltext.html
work_keys_str_mv AT jaywanchung biologicaladvectionandcrossdiffusionwithparameterregimes
AT yongjungkim biologicaladvectionandcrossdiffusionwithparameterregimes
AT ohsangkwon biologicaladvectionandcrossdiffusionwithparameterregimes
AT changwookyoon biologicaladvectionandcrossdiffusionwithparameterregimes
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