Numerical Study of Periodic Traveling Wave Solutions for the Predator-Prey Model with Landscape Features
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yun, Ana | - |
dc.contributor.author | Shin, Jaemin | - |
dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Lee, Seunggyu | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-04T13:45:46Z | - |
dc.date.available | 2021-09-04T13:45:46Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-08 | - |
dc.identifier.issn | 0218-1274 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/92824 | - |
dc.description.abstract | We numerically investigate periodic traveling wave solutions for a diffusive predator-prey system with landscape features. The landscape features are modeled through the homogeneous Dirichlet boundary condition which is imposed at the edge of the obstacle domain. To effectively treat the Dirichlet boundary condition, we employ a robust and accurate numerical technique by using a boundary control function. We also propose a robust algorithm for calculating the numerical periodicity of the traveling wave solution. In numerical experiments, we show that periodic traveling waves which move out and away from the obstacle are effectively generated. We explain the formation of the traveling waves by comparing the wavelengths. The spatial asynchrony has been shown in quantitative detail for various obstacles. Furthermore, we apply our numerical technique to the complicated real landscape features. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | IMPLICIT EXPLICIT METHODS | - |
dc.subject | POPULATION-DYNAMICS | - |
dc.subject | CYCLIC POPULATIONS | - |
dc.subject | VOLE | - |
dc.subject | FIELD | - |
dc.subject | EQUATIONS | - |
dc.subject | PATTERNS | - |
dc.subject | SCHEMES | - |
dc.title | Numerical Study of Periodic Traveling Wave Solutions for the Predator-Prey Model with Landscape Features | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1142/S0218127415501175 | - |
dc.identifier.scopusid | 2-s2.0-84941243292 | - |
dc.identifier.wosid | 000360923300011 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v.25, no.9 | - |
dc.relation.isPartOf | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | - |
dc.citation.title | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | - |
dc.citation.volume | 25 | - |
dc.citation.number | 9 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Science & Technology - Other Topics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Multidisciplinary Sciences | - |
dc.subject.keywordPlus | IMPLICIT EXPLICIT METHODS | - |
dc.subject.keywordPlus | POPULATION-DYNAMICS | - |
dc.subject.keywordPlus | CYCLIC POPULATIONS | - |
dc.subject.keywordPlus | VOLE | - |
dc.subject.keywordPlus | FIELD | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | PATTERNS | - |
dc.subject.keywordPlus | SCHEMES | - |
dc.subject.keywordAuthor | Dirichlet boundary | - |
dc.subject.keywordAuthor | periodic traveling waves | - |
dc.subject.keywordAuthor | predator-prey model | - |
dc.subject.keywordAuthor | landscape features | - |
dc.subject.keywordAuthor | numerical periodicity | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
145 Anam-ro, Seongbuk-gu, Seoul, 02841, Korea+82-2-3290-2963
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.