{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:23Z","timestamp":1740103703611,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,5,22]],"date-time":"2020-05-22T00:00:00Z","timestamp":1590105600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761063","11661051"],"award-info":[{"award-number":["11761063","11661051"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761063","11661051"],"award-info":[{"award-number":["11761063","11661051"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,5,22]]},"abstract":"<jats:p>The global asymptotic behavior of solutions in a cross-diffusive predator-prey model with cannibalism is studied in this paper. Firstly, the local stability of nonnegative equilibria for the weakly coupled reaction-diffusion model and strongly coupled cross-diffusion model is discussed. It is shown that the equilibria have the same stability properties for the corresponding ODE model and semilinear reaction-diffusion model, but under suitable conditions on reaction coefficients, cross-diffusion-driven Turing instability occurs. Secondly, the uniform boundedness and the global existence of solutions for the model with SKT-type cross-diffusion are investigated when the space dimension is one. Finally, the global stability of the positive equilibrium is established by constructing a Lyapunov function. The result indicates that, under certain conditions on reaction coefficients, the model has no nonconstant positive steady state if the diffusion matrix is positive definite and the self-diffusion coefficients are large enough.<\/jats:p>","DOI":"10.1155\/2020\/1265798","type":"journal-article","created":{"date-parts":[[2020,5,22]],"date-time":"2020-05-22T23:30:38Z","timestamp":1590190238000},"page":"1-19","source":"Crossref","is-referenced-by-count":1,"title":["Global Behavior of Solutions in a Predator-Prey Cross-Diffusion Model with Cannibalism"],"prefix":"10.1155","volume":"2020","author":[{"given":"Meijun","family":"Chen","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2332-0237","authenticated-orcid":true,"given":"Shengmao","family":"Fu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China"}]},{"given":"Xiaoli","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/s0025-5564(98)10051-2"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/bf00276144"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/0142008"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(86)90029-5"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/bf00275508"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/bf02460632"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/bf02459465"},{"year":"2003","key":"8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(79)90258-3"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/s1468-1218(02)00014-7"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2004.10.719"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.01.004"},{"key":"13","first-page":"75","volume":"50","year":"2007","journal-title":"Acta Mathematica Sinica-A"},{"key":"14","first-page":"250","volume":"8","year":"2012","journal-title":"International Journal of Information and Systems Sciences"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2013.02.007"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2018.12.002"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/s0304-3800(01)00255-1"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2018.11.004"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2006.3.717"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(81)90020-6"},{"key":"21","first-page":"753","volume":"8","year":"1995","journal-title":"Differential and Integral Equations"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546x(89)90097-7"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2013.18.2597"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546x(88)90073-9"},{"key":"25","first-page":"13","volume":"3","year":"1990","journal-title":"Differential and Integral Equations"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/bf01215256"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1265798.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1265798.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1265798.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,22]],"date-time":"2020-05-22T23:30:44Z","timestamp":1590190244000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1265798\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,22]]},"references-count":26,"alternative-id":["1265798","1265798"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1265798","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,5,22]]}}}