{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T02:42:55Z","timestamp":1748486575588,"version":"3.37.3"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2022,8,26]],"date-time":"2022-08-26T00:00:00Z","timestamp":1661472000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,8,26]],"date-time":"2022-08-26T00:00:00Z","timestamp":1661472000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002980","name":"Dalian University of Technology","doi-asserted-by":"publisher","award":["11971088"],"award-info":[{"award-number":["11971088"]}],"id":[{"id":"10.13039\/501100002980","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1007\/s40314-022-01992-2","type":"journal-article","created":{"date-parts":[[2022,8,26]],"date-time":"2022-08-26T06:02:50Z","timestamp":1661493770000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Turing instability of the periodic solution for a generalized diffusive Maginu model"],"prefix":"10.1007","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3271-7623","authenticated-orcid":false,"given":"Xiaowei","family":"Ju","sequence":"first","affiliation":[]},{"given":"Yu","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,8,26]]},"reference":[{"key":"1992_CR1","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1016\/0022-247X(86)90273-8","volume":"118","author":"J Hale","year":"1986","unstructured":"Hale J (1986) Large diffusivity and asymptotic behavior in parabolic systems. J Math Anal Appl 118:455\u2013466","journal-title":"J Math Anal Appl"},{"key":"1992_CR2","volume-title":"Theory and application of Hopf bifurcation","author":"B Hassard","year":"1981","unstructured":"Hassard B, Kazarinoff N, Wan Y (1981) Theory and application of Hopf bifurcation. Cambridge University Press, Cambridge"},{"key":"1992_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0089647","volume-title":"Geometric theory of semilinear parabolic equations. Lecture notes in mathematics","author":"D Henry","year":"1981","unstructured":"Henry D (1981) Geometric theory of semilinear parabolic equations. Lecture notes in mathematics, vol 840. Springer-Verlag, Berlin, Heidelberg"},{"key":"1992_CR4","doi-asserted-by":"publisher","DOI":"10.1063\/1.4978924","volume":"27","author":"M Kuwamura","year":"2017","unstructured":"Kuwamura M, Izuhara H (2017) Diffusion-driven destabilization of spatially homogeneous limit cycles in reaction diffusion systems. Chaos 27:033112","journal-title":"Chaos"},{"key":"1992_CR5","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/0025-5564(75)90026-7","volume":"27","author":"K Maginu","year":"1975","unstructured":"Maginu K (1975) Reaction-diffusion equation describing morphogenesis I. Waveform stability of stationary wave solutions in a one dimensional model. Math Biosci 27:17\u201398","journal-title":"Math Biosci"},{"key":"1992_CR6","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1016\/0022-0396(79)90156-6","volume":"31","author":"K Maginu","year":"1979","unstructured":"Maginu K (1979) Stability of spatially homogeneous periodic solutions of reaction-diffusion equations. J Differ Equ 31:130\u2013138","journal-title":"J Differ Equ"},{"key":"1992_CR7","first-page":"39","volume":"1","author":"Y Morita","year":"1984","unstructured":"Morita Y (1984) Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions. J Appl Math 1:39\u201365","journal-title":"J Appl Math"},{"key":"1992_CR8","doi-asserted-by":"crossref","unstructured":"Nagumo J, Arimoto S, Yoshizawa S (1962) An active pulse transmission line simulating nerve axon. In: Proceedings of the IRE, 2061\u20132070","DOI":"10.1109\/JRPROC.1962.288235"},{"key":"1992_CR9","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1006\/jdeq.1994.1044","volume":"109","author":"L Oliveira","year":"1994","unstructured":"Oliveira L (1994) Instability of homogeneous periodic solutions of parabolic-delay equations. J Differ Equ 109:42\u201376","journal-title":"J Differ Equ"},{"key":"1992_CR10","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1111\/j.1939-7445.1998.tb00304.x","volume":"11","author":"S Ruan","year":"1998","unstructured":"Ruan S (1998) Diffusion-driven instability in the Gierer-Meinhardt model of morphogenesis. Nat Resour Model 11:131\u2013142","journal-title":"Nat Resour Model"},{"issue":"5999","key":"1992_CR11","doi-asserted-by":"publisher","first-page":"1616","DOI":"10.1126\/science.1179047","volume":"329","author":"K Shigeru","year":"2010","unstructured":"Shigeru K, Miura T (2010) Reaction-diffusion model as a framework for understanding biological pattern formation. Science 329(5999):1616\u20131620","journal-title":"Science"},{"key":"1992_CR12","first-page":"37","volume":"B237","author":"AM Turing","year":"1952","unstructured":"Turing AM (1952) The chemical basis of morphogenesis. Philos Trans R Soc London B237:37\u201372","journal-title":"Philos Trans R Soc London"},{"key":"1992_CR13","unstructured":"Wang Q (2008) Compound Operators and Infinite Dimensional Dynamical Systems. Ph. D dissertation, University of Alberta"},{"key":"1992_CR14","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1007\/s00285-010-0332-1","volume":"62","author":"J Wang","year":"2011","unstructured":"Wang J, Shi J, Wei J (2011) Predator-prey system with strong Allee effect in prey. J Math Biol 62:291\u2013331","journal-title":"J Math Biol"},{"key":"1992_CR15","unstructured":"Wiggins S (2003) Introduction to applied nonlinear dynamical systems and chaos. In: Texts Appl Math, vol 2. Springer, New York"},{"key":"1992_CR16","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/j.jde.2021.02.006","volume":"281","author":"F Yi","year":"2021","unstructured":"Yi F (2021) Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling. J Differ Equ 281:379\u2013410","journal-title":"J Differ Equ"},{"key":"1992_CR17","doi-asserted-by":"publisher","first-page":"1944","DOI":"10.1016\/j.jde.2008.10.024","volume":"246","author":"F Yi","year":"2009","unstructured":"Yi F, Wei J, Shi J (2009) Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system. J Differ Equ 246:1944\u20131977","journal-title":"J Differ Equ"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-022-01992-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-022-01992-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-022-01992-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T22:45:52Z","timestamp":1662763552000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-022-01992-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,26]]},"references-count":17,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["1992"],"URL":"https:\/\/doi.org\/10.1007\/s40314-022-01992-2","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2022,8,26]]},"assertion":[{"value":"5 October 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 May 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 August 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 August 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"290"}}