{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T12:27:48Z","timestamp":1774355268217,"version":"3.50.1"},"reference-count":33,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p>The present research deals with the emergence of spatiotemporal patterns of a two-dimensional (2D) continuous predator\u2013prey system with cross-diffusion effect. First, we work out the critical lines of Hopf and Turing bifurcations of the current model system in a 2D spatial domain by means of bifurcation theory. More specifically, the exact Turing region is specified in a two-parameter space. In effect, by choosing the cross-diffusion coefficient as one of the momentous parameter, we demonstrate that the model system undergoes a sequence of spatiotemporal patterns in a homogeneous environment through diffusion-driven instability. Our results via numerical simulation authenticate that cross-diffusion be able to create stationary patterns which enrich the findings of pattern formation in an ecosystem.<\/jats:p>","DOI":"10.1142\/s0218127418300045","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T09:16:50Z","timestamp":1521710210000},"page":"1830004","source":"Crossref","is-referenced-by-count":33,"title":["Spatiotemporal Patterns in a Predator\u2013Prey Model with Cross-Diffusion Effect"],"prefix":"10.1142","volume":"28","author":[{"given":"M.","family":"Sambath","sequence":"first","affiliation":[{"name":"Department of Mathematics, Periyar University, Salem 636 011, India"}]},{"given":"K.","family":"Balachandran","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bharathiar University, Coimbatore 641 046, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2054-887X","authenticated-orcid":false,"given":"L. N.","family":"Guin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Visva-Bharati, Santiniketan-731 235, West Bengal, India"}]}],"member":"219","published-online":{"date-parts":[[2018,3,22]]},"reference":[{"key":"S0218127418300045BIB001","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9658(2002)083[0028:MIBPCG]2.0.CO;2"},{"key":"S0218127418300045BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2009.07.015"},{"key":"S0218127418300045BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(01)00051-6"},{"key":"S0218127418300045BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/2284"},{"key":"S0218127418300045BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02460888"},{"key":"S0218127418300045BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-013-0111-x"},{"key":"S0218127418300045BIB007","doi-asserted-by":"publisher","DOI":"10.1063\/1.2784554"},{"key":"S0218127418300045BIB008","doi-asserted-by":"publisher","DOI":"10.2307\/1936298"},{"key":"S0218127418300045BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3800(01)00255-1"},{"key":"S0218127418300045BIB010","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1998.0842"},{"key":"S0218127418300045BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-006-9062-3"},{"key":"S0218127418300045BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.10.005"},{"key":"S0218127418300045BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.02.022"},{"key":"S0218127418300045BIB014","doi-asserted-by":"publisher","DOI":"10.2307\/1941447"},{"key":"S0218127418300045BIB015","doi-asserted-by":"crossref","first-page":"6542","DOI":"10.1016\/j.amc.2013.01.002","volume":"219","author":"Li L.","year":"2013","journal-title":"Appl. Math. Comput."},{"key":"S0218127418300045BIB016","first-page":"177","volume":"3","author":"Liu P. P.","year":"2009","journal-title":"Nonlin. Anal."},{"key":"S0218127418300045BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.04.098"},{"key":"S0218127418300045BIB018","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2004.2733"},{"key":"S0218127418300045BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/b98869"},{"key":"S0218127418300045BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.01.022"},{"key":"S0218127418300045BIB021","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2013\/08\/P08014"},{"key":"S0218127418300045BIB022","first-page":"249","volume":"16","author":"Sambath M.","year":"2012","journal-title":"J. Korean Soc. Ind. Appl. Math."},{"key":"S0218127418300045BIB023","first-page":"71","volume":"3","author":"Sambath M.","year":"2013","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127418300045BIB024","doi-asserted-by":"publisher","DOI":"10.1080\/00036811.2012.742185"},{"key":"S0218127418300045BIB025","doi-asserted-by":"publisher","DOI":"10.1002\/mma.3106"},{"key":"S0218127418300045BIB026","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-009-9495-y"},{"key":"S0218127418300045BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-008-9462-z"},{"key":"S0218127418300045BIB028","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0374-6"},{"key":"S0218127418300045BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2012.04.071"},{"key":"S0218127418300045BIB030","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1952.0012"},{"key":"S0218127418300045BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecolmodel.2009.09.011"},{"key":"S0218127418300045BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.08.035"},{"key":"S0218127418300045BIB033","doi-asserted-by":"crossref","first-page":"3620","DOI":"10.1016\/j.amc.2010.05.007","volume":"216","author":"Zhu L. M.","year":"2010","journal-title":"Appl. Comput. Math."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127418300045","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,29]],"date-time":"2020-10-29T23:07:59Z","timestamp":1604012879000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127418300045"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":33,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2018,3,22]]},"published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1142\/S0218127418300045"],"URL":"https:\/\/doi.org\/10.1142\/s0218127418300045","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2]]}}}