{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:40:00Z","timestamp":1760784000397},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,8]]},"abstract":"<jats:p> We numerically investigate periodic traveling wave solutions for a diffusive predator\u2013prey 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. <\/jats:p>","DOI":"10.1142\/s0218127415501175","type":"journal-article","created":{"date-parts":[[2015,9,3]],"date-time":"2015-09-03T23:59:52Z","timestamp":1441324792000},"page":"1550117","source":"Crossref","is-referenced-by-count":3,"title":["Numerical Study of Periodic Traveling Wave Solutions for the Predator\u2013Prey Model with Landscape Features"],"prefix":"10.1142","volume":"25","author":[{"given":"Ana","family":"Yun","sequence":"first","affiliation":[{"name":"Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea"}]},{"given":"Jaemin","family":"Shin","sequence":"additional","affiliation":[{"name":"Institute of Mathematical Sciences, Ewha W. University, Seoul 120-750, Republic of Korea"}]},{"given":"Yibao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, P. R. 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